Answer:
Function 1 is not a function.The domain and range of the first function respectively are [tex]\text{ \{-3, 0, 1, 5\}}[/tex] and [tex]\text{ \{-4, -2, -1, 1, 3\}}[/tex].Function 2 is a function.The domain and range of the second function respectively are [tex]\text{ \{-2, -1, 0, 1, 2\}}[/tex] and [tex]\text{ \{-7, -2, 1\}}[/tex].Step-by-step explanation:
In math, every function has a domain and a range.
The domain of the function is all of the x-values for which the function is true. These can be found on the x-axis for every position at which the function exists or crosses the x-axis.The range of the function is all of the y-values for which the function is defined. The range can be found in the same manner as the domain - for every y-value at which the function exists, it is apart of the range.Therefore, with this information given to us, we need to also know about coordinate pairs. Coordinate pairs are written in (x, y) form.
Functions are classified in four ways:
One-to-one functions: Functions are considered to be one-to-one functions if there are unique y-values (no y-values are repeated) and there is one x-value for every one y-value.Onto functions: Functions are considered to be onto functions if there are unique x-values. These x-values cannot repeat, but different x-values can be connected to the same y-values.Both one-to-one & onto: Functions are considered both one-to-one and onto when there is exactly one x-value for every one y-value.Neither one-to-one or onto: Functions are considered to be neither an one-to-one function or an onto function when they have two or more of the same y-values assigned to the same x-values. A function cannot exist if y-values are duplicated on a x-value.Finally, the domain and range should be written in ascending order. Therefore, the lowest number should be written first in the domain and the highest number should be written last.
Function 1
We are given the function: [tex]\text{ \{(-3, 3)}, (1, 1), (0, -2), (1, -4), (5, -1) \} }[/tex].
Using the information above, we can pick out our x and y-values from the function.
Values of Domain: -3, 1, 0, 1, 5
Values of Range: 3, 1, -2, -4, -1
Now, we need to arrange these in ascending order.
Domain Rearranged: -3, 0, 1, 1, 5
Range Rearranged: -4, -2, -1, 1, 3
Using these values, we can see what values we have.
For x-values:
x = -3: 1 value
x = 0: 1 value
x = 1: 2 values
x = 5: 1 value
For y-values:
y = -4: 1 value
y = -2: 1 value
y = -1: 1 value
y = 1: 1 value
y = 3: 1 value
Therefore, we can begin classifying this function. Because we have all separate y-values, we have a function. However, we have two of the same x-value, so we have an onto function.
Now, we can create our domain and range in the set. We use the same formatting given for the first function. We list the values in ascending order and list them in brackets to show that they are apart of a set.
The domain values are the x-values, so they are [tex]\text{ \{-3, 0, 1, 5\}}[/tex].
The range values are the y-values, so they are [tex]\text{ \{-4, -2, -1, 1, 3\}}[/tex].
Therefore, the domain and range for function one are defined, but this is not a function. Because the x-values repeat, it cannot be a function.
Function 2
We are given a table of values that needs to be translated into the set notation. This makes it easier to identify the values. We are given x-coordinates in the top row and y-coordinates in the bottom row. And, the table is set up to where the x-value directly above the y-value makes a coordinate pair. Using this, we can create the set function.
The set function is [tex]\text{ \{(-2, -7), (-1, -2), (0, 1), (1, -2), (2, -7)\}}[/tex].
Now, we can use the same method as above to pick out the x and y-values and reorder them to be from least to greatest.
Values of Domain: -2, -1, 0, 1, 2
Values of Range: -7, -2, 1, -2, -7
Now, we rearrange these.
Domain Rearranged: -2, -1, 0, 1, 2
Range Rearranged: -7, -7, -2, -2, 1
Now, we can check how many times the function presents each coordinate.
For x-values:
x = -2: 1 value
x = -1: 1 value
x = 0: 1 value
x = 1: 1 value
x = 2: 1 value
For y-values:
y = -7: 2 values
y = -2: 2 values
y = 1: 1 value
Now, we can classify the function. The x-values are unique, but the y-values are repeated. Therefore, because the x-values are assigned to one y-coordinate and they are unique, this is not an one-to-one function. Additionally, it cannot be an onto function because the y-values are not unique - they are repeated. Therefore, it is neither an one-to-one function or an onto function. If this function were graphed, it would actually reveal a parabola. However, it is still a function.
The domain values are the x-values, so they are [tex]\text{ \{-2, -1, 0, 1, 2\}}[/tex].
The range values are the x-values, so they are [tex]\text{ \{-7, -2, 1\}}[/tex].
Find the values of X and Y
please help!! i don’t understand.
Answer:
64 degrees
Step-by-step explanation:
it's a right angle which means it's 90 degrees then you minus 90 degrees by 26 and you get 64 degrees
hello I need help on Number 9
Cube root of x^3
Plzzz help
Answer:
x
Step-by-step explanation:
Cube root is basically [tex]\sqrt[3]{x}[/tex] and if you're looking for [tex]\sqrt[3]{x^{3} }[/tex] the 3's cancel out the radical so you get x. There's probably a better explanation online but I'm pretty sure it's x.
Jesse's lemon cookie recipe calls for 2 1/2 of a cup of sugar. How much sugar would Jesse use to triple the recipe?
Answer:
She would need 7 1/2 half cups to triple the recipe.
Step-by-step explanation:
Answer:
7 1/2 or 7.5 cups of sugar
Step-by-step explanation:
multiply 2.5 times 3 = 7.5 or 7 1/2
what is six times the quantity two x plus three y
question:[tex]6^{2}[/tex]x +3y
Answer:
36x + 3y
If ƒ (x ) = 3x2 - x, find ƒ (-2).
Answer:
answer is 4.......
Step-by-step explanation:
....
Write an expression: Jim earned “j” in tips, and Steve earned “s” in tips. They combined their tips and then split them equally.
Answer:
(j + s) /2
Step-by-step explanation:
what is the quotient in 10÷3
Answer:
its 3.333333333 but short form its just 3.3 as a fraction it would be 3 3/10
Step-by-step explanation:
sry i did this in a comment last time hope it helps
Answer:
The answer us 3.3 Reapeating
Step-by-step explanation:
0.3333
[tex]\sqrt[3]{10}[/tex]
- 9
10
- 9
1
1. The cost of fair tickets and admission is shown in
the table below.
Number of
Tickets
Total Cost
(dollars)
5
25
10
45
15
65
Which equation best represents x in relation to y?
Ay - 4x + 5
B. y = 5x + 4
c. y = 5x + 20
D. y = 0.25x + 5
Answer:
Step-by-step explanation:
D
Answer:
D
Step-by-step explanation:
12−3(3x−5)=12(2x+1)
Pls help soon like in minutes :c
Also umm please help me on this
Also umm dErP :>
Answer:
x = 5/11
Step-by-step explanation:
Hope this helps!
The expression is given in srandard form. Rewrite it in factored form . If it cannit be written in factored form , write “cannot be done “ p^2+18p-40
Answer:
(P+20)(p-2)
Step-by-step explanation:
p^2+18p-40
P^2+(20-2)p-40
P^2+20p-2p-40
P(p+20)-2(p+20)
(P+20)(p-2)
IF M
PLEASE EXPLAIN ??
What is 3568 in standard form
Answer:
3000+500+60+8
Step-by-step explanation:
WILL MARK BRAINLIEST!!! I don't understand what I did wrong. Can someone point out what I did wrong and tell me how I should have done it.
slope = (4 - 1)/(3 + 6) = 3/9 = 1/3
y = mx + b
b = y - mx
b = 1 - 1/3(-6)
b = 1 + 2
b = 3
equation
y = 1/3x + 3
answer
C: y= 1/3x + 3
what 198/28 as a mixed number?
Answer:
7 1/14
Step-by-step explanation:
198÷28 = 7.blablabla
Therefore, 7 is the integer
so you take 7 and multiply it by 28 = 196
198 - 196 = 2
Therefore, 2 is the remainder
The format for mixed numbers is Integer (remainder/denominator)
so the mixed fraction is 7 2/28
2/28 can be reduced to 1/14
Therefore the final answer is 7 1/14
if - 2x + 4 = 8, will x be positive or negative? Without solving the equation, explain how you know.
X will be negative; in order to determine this for future problems move all like variables to the other side of the equation and see what you are left with. If you are left with -2x= some positive value then it must be a negative x to get a positive answer and vise versa.
Please help me please
Answer:
The answer would be "j"
Step-by-step explanation:
First, you would want to find the value of the original equation:
5(y + 2) + 4
Use order of operations and distribute the five.
5y + 10 + 4
5y +14
This is the value of the original equation
Now we can work through the other options, but because we already know the answer, lets see about that one.
5 x y + 5 x 2 + 4
Again, use order of operations.
Multiply first
5y + 10 + 4
and complete the equation
5y + 14, which equals our original equation.
What is the slope of the line?
63 +10y = 8
Find the missing side length of each right triangle
Answer:
17 inches
Step-by-step explanation:
c² = a² + b²
c = √(225 + 64) = √289 = 17 inches
There are 8 fewer than double the
number of students in the chorus than in
the band. There are 54 members in the
chorus. Which equation represents how
to find the number of students in the
band?
A. 2x - 8= 54
B. 2x + 8 = 54
C. 8x - 2 = 54
D. 8x + 2 = 54
Answer:
The equation to find the number of students in the
the band will be: 2x - 8= 54
Step-by-step explanation:
Let the number of members in the chorus = x
so the double number of members in the chorus will be = 2x
As Total members in the chorus = 54
As there are 8 fewer than double the number of students in the chorus than in the band. i.e. 2x - 8
Therefore, the equation to find the number of students in the
the band will be: 2x - 8= 54
Y varies directly as x, y = 35 when x = 5. Find y when x = 12
The value of y when (x = 12) is 84 and this can be determined by forming the linear equation with the help of the given data.
Given :
y varies directly as xy = 35 when x = 5The following steps can be used to determine the value of y when x = 12:
Step 1 - Given that y varies directly as x, that means:
[tex]\rm y \; \alpha \; x[/tex]
Step 2 - The above expression becomes:
y = kx ----- (1)
Step 3 - Given that y = 35 when x = 5, that implies:
35 = 5k
k = 7
Step 4 - Put the value of k in equation (1).
y = 7x
Step 5 - Now, the value of y when x = 12 is:
y = 7(12)
y = 84
So, the value of y when (x = 12) is 84.
For more information, refer to the link given below:
https://brainly.com/question/2263981
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Divide:
5/8 divided by 3/4
Answer:
solution
5/8 ÷3/4
=5÷3=1.6666666667
=4÷8=2
=11
2
1. If a Grey Whale has a MASS of 34,000 kg and a Swimming SPEED
(VELOCITY) of 8.25 m/s, what is the Whale's MOMENTUM?
2. A Cheetah can run at top speed for about 8 seconds and run about 225 meters
during this time. Calculate their SPEED (VELOCITY):
Answer:
[tex] \: \: \: \: 1. \\ - - - - - - - - - \\ momemtum \: = mass \times velocity \\ = 34000 \times 8.25 \\ = 280500 \\ \\ 2. \\ - - - - - - - - - - \\ velocity \: = \frac{distance}{time} \\ = \frac{225}{8} \\ = 28.125 \: m {s}^{-1} [/tex]plsss mar it as a brilliant answerand like it ❤Plz answer asap I need an answer i will mark brainiest.
Answer:
A
Step-by-step explanation:
Galaxy Comics has a special deal this month. When a customer buys 3 comic books, they
receive 2 action figures with their purchase. Juan bought all 9 comic books from his favorite
series, The Mighty Master.
How many action figures did Juan receive with his purchase?
Answer:
6 action figures
Step-by-step explanation:
I checked it on IXL
Answer:
The answer is 6
Step-by-step explanation:
Craig likes to collect vinyl records. Last year he had 10 records in his collection. Now he has 12 records. What is the percent increase of his collection?
Answer:
2%
Step-by-step explanation:
2% of 10 is 2. 10 + 2= 12 therefore it is a 2% increase
The sum of two numbers is -64. Their difference is -10. Find the numbers.
The smaller number is:
The larger number is:
Answer:
smaller: -37, larger: -27
Step-by-step explanation:
say one number is x the other one is y
x+y = -64
x-y = -10
subtract the two equations to get
2y = -54
y = -27
x = -37
-27 is larger, -37 is smaller
Don't have a clue on how to do this one.
Answer:
From the picture attached,
There are two parallel lines intersected by three transverse lines.
m∠2 = 98°, m∠3 = 23°, m∠8 = 70°
a). Since ∠1 and ∠2 are linear pairs,
=
m∠1 + m∠2 = 180°
m∠1 + 98° = 180°
m∠1 = 180 - 98
m∠1 = 82°
b). m∠4 = m∠7 [Corresponding angles]
m∠7 = 180° - (m∠2 + m∠3) [Property of a triangle]
= 180 - (98 + 23)
= 180 - 121
= 59°
m∠4 = m∠7 = 59°
c). m∠5 = 180° - (m∠3 + m∠4)
= 180° - (23° + 59°)
= 180° - 82°
= 98°
d). m∠6 = 180° - (m∠7 + m∠8)
= 180° - (59° + 70°)
= 180 - 129
= 51°
e). m∠7 = 59° [Calculated in part b]
f). m∠9 = 180° - (m∠4 + m∠8) [Property of a triangle]
= 180° - (59 + 70)°
= 180 - 129
= 51°
g). m∠10 = 180° - m∠9
= 180 - 51
= 129°
Which statement correctly describes the decimal form of: 2/9
Answer:
0.222 (repeated)
Step-by-step explanation:
Fractions are essentially another way to write a division expression.
This means that if a/b, then it can also be written as a÷b. (a and b are variables)
So, 2/9 is the same thing as 2÷9.
You can then calculate 2÷9 using a calculator, long division, or any other way you usually solve questions involving division.