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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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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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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y = –477.38 + 237.66 ln x


y = –109.41 + 14.59x


y = 11.46 e1.107x


y = 0.45x1.903

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