What is the range of the function f(x) = 1/2 x- 2 when the domain is { 2,4,6}

Answers

Answer 1

Answer:

The range of f(x) is:

[tex]y\in\{-1,0,1\}[/tex]

Step-by-step explanation:

Domain and Range

Given a function y=f(x), the domain of f(x) is the set of values that x can take and the range of f(x) is the set of values that f gets when x is in the domain.

We have the function:

[tex]\displaystyle f(x) = \frac{1}{2} x-2[/tex]

And the domain is

[tex]x\in\{2,4,6\}[/tex]

Compute the range by assigning each value of x:

For x=2:

[tex]\displaystyle f(2) = \frac{1}{2} \cdot 2-2=1-2=-1[/tex]

[tex]\displaystyle f(2) = -1[/tex]

For x=4:

[tex]\displaystyle f(4) = \frac{1}{2} \cdot 4-2=2-2=0[/tex]

[tex]\displaystyle f(4) = 0[/tex]

For x=6:

[tex]\displaystyle f(6) = \frac{1}{2} \cdot 6-2=3-2=1[/tex]

[tex]\displaystyle f(6) = 1[/tex]

The range of f(x) is:

[tex]y\in\{-1,0,1\}[/tex]


Related Questions

Solve for x:
(X+5)^1/2 = (5-2x)^1/4

Answers

Answer:

X = Negative 2 (-2)

PLEASE HELP!!!! I HAVE TO TURN THIS IN IN 5 MIN!!!
ARE THE IMAGES IN THE CORRECT GROUPS????
(They have to be in groups of 3!)

Answers

Answer:

Orange with pink, Yellow with red, Purple with blue. Yellow should be 1x instead of 3x. Swotch the table under red with green aswell.

Moretti's Ristorante & Pizzeria has two different soda sizes, Regular and Large. The Regular size soda is 22 ounces and the Large soda is 64 ounces. By what percent does the amount of soda increase between the different soda sizes? Round to the nearest percent

Answers

Answer:

280

Step-by-step explanation:

Given that:

The two different sizes of soda are:

Regular = 22 ounce

Large = 62 ounce.

The objective is to determine by what percent does the amount of the soda increase between the different soda size.

i.e. The ratio of the larger size in respect to the regular size:

So,

62/22 = 2.82

Thus in percent, the amount of the soda increase between the different soda size = 2.82 × 100%

= 282 percent

To the nearest percent, it is = 280

HELPP!!


Mary earns $12 per hour, plus 10% commission on all her sales. Mary worked 10 hours and her sales were $1,500. How much money
did Mary earn?

Answers

First, you multiply 12 and 10 to get how much money she earned in 10 hours.  She earned 120 dollars in 10 hours.  Next, you multiply 10% and 1500.  You turn 10% into 0.10, and multiply by 1500 to get 150.  Finally you would add 150 and 120 to get $270.  Mary earned $270.

A cone has a diameter of 6 inches and a height of 8 inches. Find the volume of the both in terms of π and using 3.14 for π.

Answers

Answer

1- 61.95

2- 82.6  

Step-by-step explanation:

V=πr2h divided by 3

help show work
42,44,46,48,50
assig 9

Answers

Answer:  see below

Step-by-step explanation:

42)   11 < 3y + 2 < 20

      -2         -2    -2  

       9  <  3y      < 18

     ÷3   ÷3         ÷3  

      3 <    y      <  6

Graph:   o----------o

             3            6

44)   36 ≥ 1 - 5z >  -21

       -1     -1           -1    

       35 ≥     -5z >  -22

    ÷ -5 ↓  ÷ -5 ↓ ÷ -5

        7  ≤        z <  4.4

Graph:   o------------ ·

            4.4            7

 

46) 6b + 3 < 15    or    4b - 2 > 18

            -3   -3                 +2    +2

      6b       < 12           4b      > 20

    ÷6           ÷6         ÷4         ÷4  

         b      <  2    or     b     >   5

Graph:   ←--------o   o---------→

                        2    5

48)   8d < -64    and    5d > 25

      ÷8     ÷8                ÷5     ÷5

        d < -8      and       d > 5    

 there is no number that is both less than - 8 and greater than 5

                 No Solution

Graph:   (empty)

                       

50)  15x > 30    and    18x < -36

    ÷15     ÷15           ÷18     ÷18  

         x >   2      and       x < -2  

 there is no number that is both less than - 2 and greater than 2

                 No Solution

Graph:   (empty)

Write an equation of the line passing through point P(4,3) that is parallel to the line y = 12(x+4).

Answers

Answer:

y=12x-45

Step-by-step explanation:

First we want to get y=12(x+4) into Slope intercept form which is y=mx+b and we do that by multiplying 12 by x so we get 12x and multiplying 12 by 4 so we get 48.

Now we have:

y=12x+48

where the slope is 12.

Parallel lines have the same slope. so the line that goes through (4,3) will have the same slope.

Now that we have a slope and a point we want to write an equation in point-slope form: y-y1=m(x-x1)

Step 1 for this: y-3=12(x-4)

Step 2: we will distribute and solve for y so our answer is in slope intercept form.  

Step 3: we now have the equation y-3=12x-48 after distributing now we add 3 to -3 so it cancels out and we add 3 to -48 and we get -45

Our answer is y=12x-45

Hope this helps!

At Al's Pizza they have the Expo Pizza, which is a 24-inch cheese pizza that costs $17.50. Each topping for the pizza costs $2.35. You order a pizza and get charged $29.25. Which equation represents the situation described?
A.29.25 = 17.50 +2.35x
B. 29.25 = 17.50x + 2.35
C. 2.35x = 29.25 + 17.50
D.17.50 +2.35 = 29.25x​

Answers

Answer:

Compare and contrast the to main candidates

Step-by-step explanation:

Help

Once the child in the sample problem reaches the bottom of the hill, she continues sliding along the flat, snow-covered ground until she comes to a stop. If her acceleration during this time is -.392m/s^2 how long does it take her to travel from the bottom of the hill to her stopping point

Answers

Sample problem is;

A child slides down a steep, snow covered hill with an acceleration of 2.82 m/s². Her initial speed is 0.0 m/s² and her final speed is 15.5 m/s travelling from top to bottom of the hill.

Answer:

t = 39.54 s

Step-by-step explanation:

We are told that her acceleration is now -0.392 m/s²

Thus; a = -0.392 m/s²

From the sample problem, we have;. Initial velocity = 0 m/s

Final velocity = 15.5 m/s

However, in this question, we want to find the time from the bottom of the hill to her stopping point.

This means her initial velocity will now be; u = 15.5 m/s and final velocity since she will come to rest will be v = 0 m/s

To find the time it takes her to travel from the bottom of the hill to her stopping point, we will use Newton's equation of motion and so, we have;

v = u + at

making t the subject, we have;

t = (v - u)/a

t = (0 - 15.5)/(-0.392)

t = 39.54 s

Solve for x
I
(2x +1)° (5x +50°

Answers

Answer:

5 x + 1

Step-by-step explanation:

5 × + 50°

Any non - zero expression raised to the power of 0 equals 1

5 x + 1

Answer:

x = 12

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180°

since this is a right triangle

90° + 2x + 1 + 5x + 5 = 180° add like terms

7x + 96 = 180 subtract 96 from both sides

7x = 84 divide both sides by 7

x = 12

If mZ3 = 74°, find each measure.

Answers

Answer:

m<1 = 74

m<2 =  74

m<4 = 74

Step-by-step explanation:

PLEASE HELP ME OUT

John has two coupons to use at a clothing store. One is for $20 off and
the other is for 20% off. John wants to purchase a shirt with one of the
coupons and wants to pay the least amount that he can. Choose the
answer that BEST describes the situation.
A. The shirt will have the lowest price with the $20 off coupon
B. The shirt will have the lowest price with the 20% off coupon.
C. The shirt will cost the same with either coupon.
D. It depends on the cost of the shirt as to which coupon will help John pay the lowest
price

Answers

Answer: D. It depends on the cost of the shirt as to which coupon will help John pay the lowest price.

Step-by-step explanation:

You do not know how much a 20% discount is unless you know the price of the shirt. This can be more or less than $20, so you don’t know.

Hope this helps!

Answer:

D.

Step-by-step explanation:

For example if a shirt was $100 dollars, 100-20 = 80 and 100 x .8 = 80

But if the shirt cost $35, 35-20 = 15 while 35 times .8 = 28

This shows that the cost of the shirt is important in discovering which coupon is better.

What is y + 3 = 4(x-6) in standard form?
O A. -4x+y=-27
O B. 4x - y = 27
O C. y + 3 = 4x - 24
O D. y = 4x - 27

Answers

“A” is the answer; “B” is not correct/equivalent to the given equation, “C” is not simplified enough, and “D” is in slope-intercept form

Please do all for brainliest! It’s due in 1 hour!

Answers

Answer:

3x-7=17

3x=17+7

3x=24

x= 8

what is 7 less than the product of 5 and a number?

Answers

Answer:

7x - 5 = 42

Step-by-step explanation: Hope this helps you!

PLEASE HELP

4. What are the parallel, perpendicular and diagonal cross sections for a cylinder, rectangular prism and rectangular pyramid?

Answers

Answer:

For a Cylinder It is a circle, For a  rectangular prism it is a square  rectangular pyramid  a cross section is a rectangle

Step-by-step explanation:

I basically told you the answer so

Hope this helps :)

1. f(x) = 3x - 2 for D = (-3, 1, 5}
Plzzz help plzzz help plzz help

Answers

Answer:

Step-by-step explanation:

3(-3) - 2 = -9 - 2 = -11

3(1) - 2 = 3 - 2 = 1

3(5) - 1 = 15 - 1 = 14

You have inherited a large collection of audio compact discs and decide to purchase a HiFi system to play them. At the retailer you find a choice of 4 CD players, 2 amplifiers and 3 sets of speakers. How many different HiFi systems are available to purchase from this retailer

Answers

Answer:

24

Step-by-step explanation:

Since at the retailer you find a choice of 4 CD players, 2 amplifiers and 3 sets of speakers. We have 4 different ways of selecting the CD players, we also have 2 different ways of selecting the amplifiers and 3 different ways of selecting the 3 sets of speakers.

So, the total number of different HiFi systems are available to purchase from this retailer is 4 × 3 × 2 = 24 .

So we have 24 different HiFi systems are available to purchase from this retailer

is 42,260 a rational or irriational number

Answers

Answer:

rational

Step-by-step explanation:

it can be written as a ratio like 42260/1

brainliest?? please

Answer:

Rational

Step-by-step explanation:

This number is a whole, even number. It does not fit the criteria to be irrational because it can be written as a simple fraction

Find the perimeter of $\triangle CDE$ . Round your answer to the nearest hundredth. A trapezoid A B C D is plotted on a coordinate plane. A D represents the longer base and B C represents the shorter base. Vertex A lies at ordered pair negative 5 comma 4. Vertex B lies at ordered pair 0 comma 3. Vertex C lies at ordered pair 4 comma negative 1. Vertex D lies at ordered pair 4 comma negative 5. A line is drawn from vertex B and intersects line A D at point F plotted at ordered pair negative 2 comma 1. A line is drawn from vertex C and intersects the line A D at point E plotted at ordered pair 2 comma negative 3. The perimeter is about units.

Answers

Answer:

The answer is below

Step-by-step explanation:

We are asked to find the perimeter of triangle CDE. The perimeter of a shape is simply the sum of all its sides, hence:

Perimeter of tiangle CDE = |CD| + |DE| + |CE|

Given that C(4, -1), D(4, -5), E(2, -3).

The distance between two points [tex]X(x_1,y_1)\ and\ Y(x_2,y_2)[/tex] is given as:

[tex]|XY|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Therefore the lengths of the triangle are:

[tex]|CD|=\sqrt{(4-4)^2+(-5-(-1))^2} =4\ units\\\\|DE|=\sqrt{(2-4)^2+(-3-(-5))^2} =2.83\ units\\\\|CE|=\sqrt{(2-4)^2+(-3-(-1))^2} =2.83\ units[/tex]

Perimeter of CDE = 4 + 2.83 + 2.83 = 9.66 units

Write the equation of the line that passes through the given points.
(0,4) and (5,10)

Answers

Answer: y = 6/5x + 4

Step-by-step explanation: The equation is in form y = mx + b, where m is the slope and b is the y-intercept. You already have the y-intercept, which is 4. To find the slope, use rise over run. y2 - y1 / x2 - x1 = 10-4/5-0 = 6/5.

Find the perimeter of the rectangle with points A(-1,4), B(3,4), C(-1,-2), D(3,-2).

Answers

hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

of two planes intersect is their intersection a point

Answers

If two planes intersect there’s alway going to be an intersection point where the two cross over

1/2 inch is equal to ____ /16 inch
a. 8
b. 2
c. 6
d. 4​

Answers

Answer:

a. 8

Step-by-step explanation:

hope you find it helpful

ps: mark as brainliest

HELP PLEASE IS FOR TODAY
20 points

•Segment A'B' is closer to point C than segment AB.

•Segment A"B'" is closer to point C than segment A'B'

•Segment A'B' is farther from point C than segment AB

•Segment A"B'" is farther from point C than segment AB.

•Segment A"B" is farther from point C than segment A'B'

Answers

Answer:

It's A. segment A"B" is closer to segment C than segment A"B".

Step-by-step explanation:

Complete the missing terms in the sequence
6, 3, 0,


,

Answers

Answer:

-3

Step-by-step explanation:

subtract 3

Given h(x)=-2x-5, solve for x when h(x)=9 what is the answer someone help please

Answers

Answer:

-7

Step-by-step explanation:

[tex]h(x)=-2x-5\\h(x)=9\\so,\\-2x-5=9\\-2x=9+5\\-2x=14\\x=-7[/tex]

Simply replace h(x) with 9 because it is given in the question that h(x)=9

Which of the following equations could represent the points in the table? Select all that apply.

Answers

Answer:

Options (A) and (C)

Step-by-step explanation:

From table attached,

Let the equation of a linear equation that represents the input-output values in the table is,

y - y' = m(x - x')

Where (x', y') is a point lying on the graph.

And m = slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope of the line passing through (0, 11) and (1, 5) will be,

m = [tex]\frac{11-5}{0-1}[/tex]

m = -6

Therefore, equation of the line passing through (0, 11) and slope = -6 will be,

y - 11 = -6(x - 0)

Equation of a line passing through (1, 5) and slope = -6 will be,

y - 5 = -6(x - 1)

Equation of a line passing through (2, -1) and slope = -6 will be,

y + 1 = -6(x - 2)

Equation of a line passing through (3, -7) and slope = -6 will be,

y + 7 = -6(x - 3)

Therefore, Options (A) and (C) are the correct options.

I need the answer!!!! The original price of Doritos is the same at both Wal-Mart and Kroger. Jon found out that Wal-Mart had Doritos on sale at $0.50 off per bag and bought four bags. Later that day, he found out that Kroger had Doritos on sale at $1 off per bag and bought six bags. If he paid the same amount at both stores, what was the original price of Doritos?

write an equation and solve by using the distributive property, combining like terms, and eliminating the variable on one side of the equation. You must SHOW YOUR WORK!!!!

Answers

Answer:

I believe it would be $2 per bag normally.

Step-by-step explination:

If you take $2 and subtract $.50 it is $1.50. Take that multiplied by the number of bags he bought (4), would mean he spent $6 at Wal-mart.

Now $2 subtracted my the sale of $1, is $1 per bag. If he bought 6 bags at Kroger, 1 multiplied by 6, would equal 6. Meaning he spent $6 at both stores if the price was $2.

8.
Which of the following is a negative
rational number that is not an integer?
А -pi
B -4.5
C -2
D 5 squared

Answers

The answer is B, 4.5
It is not an integer because it’s a decimal, it’s a rational number, unlike pi, and it’s negative, so it the answer is 4.5
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