Tina was observing the changing heights of a ball as it bounced over time. She graphed the function on this coordinate grid to show f(x), the height of the dropped ball, in feet, after its xth bounce.

Part A: What is f(3)? Explain what this value represents in the given context.

Part B: Tina said that a possible range for the given function is y > 0. Based on the given scenario, do you agree or disagree? If you agree, explain why the range is correct. If you disagree, what values should be the range for the given scenario?

The range for the given scenario is y≥0.

Given that, Tina graphed the function on the coordinate grid to show f(x), the height of the dropped ball, in feet, after its xth bounce.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Part A:

From the graph we can see that, for f(3) that is for 3 bounces the height is 4 feet.

Part B: Tina said that a possible range for the given function is y > 0.

From the graph we can see that for f(7) and f(8), the ball is almost at rest position. So the range can be y≥0.

Therefore, the range for the given scenario is y≥0.

To learn more about the function visit:

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Simplify 753.06 ÷ 2.2
A. 34.23

B. 3.423

C. 0.0029

D. 342.3

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Can somebody shade this for me? Thanks so much!

Create and shade a number line that shows the following inequality. Make sure to label at least 3 numbers on the number line, put an open circle, and shade to the left or to the right.

x > 5

Solve for x
3/5 (x − 7/10)= −3 1/4
Enter your answer as a mixed number in simplest form.

Which ordered pair would form a proportional relationship with the point graphed below?

Construct a scatterplot and identify the mathematical model that best fits the data. Assume that the model is to be used only for the scope of the given data and consider only linear, quadratic, logarithmic, exponential, and power models. Use a calculator or computer to obtain the regression equation of the model that best fits the data. You may need to fit several models and compare the values of R2.


y = –477.38 + 237.66 ln x


y = –109.41 + 14.59x


y = 11.46 e1.107x


y = 0.45x1.903

find the fraction form
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3 < b/-4 + 4

61 points

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I NEED HELP TMR IS THE LAST DAY TO TURN THIS IN

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36 b. 120 c. 258 d. 63

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Click to see the pic! PLEASE NO LINKS, I CANT EVEN OPEN THEM FOR SOME REASON BUT I NEED AN ANSWER

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1. ESTIMATE THE NUMBER OF GALLONS REQUIRED TO PRODUCE 22 T SHIRTS. IS YOUR ESTIMATE AN OVERESTIMATE OR UNDERESTIMATE? EXPLAIN.
2. HOW MANY GALLONS OF WATER ARE REQUIRED TO PRODUCE 15 POUNDS OF CHOCOLATE? WRITE AND SOLVE AN EQUATION. LET 'g' BE THE NUMBER OF GALLONS.
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The cost of having photos taken includes a sitting fee and $12 for each portrait. The cost of 3, 6, and 9 photos respectively is $51, $87, and $123. What is the sitting fee? Use units in your answer and round answer to the hundredths place, for example $2.35
plz help

Lilly wants to plant grass around their rectangular garden they have 28 meters of grass to go around the garden and they need to use it all pick two different dimensions in which they can do to construct the garden here are the choices you can pick 9x10 2x12 10x11 dimension 2 10x4 13x7 51x14 what garden size should Lilly choose if they want to grow the greatest amount of Brussel sprouts dimension 1 or dimension 2

1
What is the solution to the system of equations? Use any method you prefer to solve.

y=5/4x-2

y= -1/4x+16

a. (12, 13)

b. (-2, 16)

c. (4, 4)

d. (5, -1)

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Describe the overall shape of the histogram.