7. Physics students drop a basketball from 5 feet above the ground and its height is measured each tenth of a second until it stops bouncing. The height of the basketball, h, is clearly a function of the time, t, since it was dropped. (a) Sketch the general graph of what you believe this function would look like. (b) Is the height of the ball a one-to-one function of time? Explain your answer. 4 h (ft) 5- t (sec) REASONING 8. Consider the function f(x) = round(x), which rounds the input, x, to the nearest integer. Is this function one-to-one? Explain or justify your answer.

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
ChapterA: Appendix: Review Topics
SectionA.3: Introduction To Functions
Problem 29PS: Suppose you have a job that pays $8.50 per hour and you work anywhere from 10 to 40 hours per week....
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7. Physics students drop a basketball from 5 feet above the ground and its height is measured each tenth of a
second until it stops bouncing. The height of the basketball, h, is clearly a function of the time, t, since it
was dropped.
(a) Sketch the general graph of what you
believe this function would look like.
(b) Is the height of the ball a one-to-one
function of time? Explain your answer.
h (f)
5-
t (sec)
REASONING
8. Consider the function f(x)= round(x), which rounds the input, x, to the nearest integer. Is this function
one-to-one? Explain or justify your answer.
Transcribed Image Text:7. Physics students drop a basketball from 5 feet above the ground and its height is measured each tenth of a second until it stops bouncing. The height of the basketball, h, is clearly a function of the time, t, since it was dropped. (a) Sketch the general graph of what you believe this function would look like. (b) Is the height of the ball a one-to-one function of time? Explain your answer. h (f) 5- t (sec) REASONING 8. Consider the function f(x)= round(x), which rounds the input, x, to the nearest integer. Is this function one-to-one? Explain or justify your answer.
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