The functionf (t) = -16t + 48t + 4 represents the height (in feet) of a volleyball t seconds after it is hit %3D into the air. a. Complete the table. t 0.5 1 1.5 2 2.5 3 f (t) b. Find the average rate of change for each 0.5-second interval in the table. Interval (seconds) O to 0.5 0.5 to 1 1 to 1.5 1.5 to 2 2 to 2.5 2.5 to 3 Average Rate of Change

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The functionf (t) = -16t + 48t + 4 represents the height (in feet) of a volleyball t seconds after it is hit
%3D
into the air.
a. Complete the table.
t
0.5
1
1.5
2 2.5
3
f (t)
b. Find the average rate of change for each 0.5-second interval in the table.
Interval (seconds)
O to 0.5 0.5 to 1 1 to 1.5 1.5 to 2 2 to 2.5 2.5 to 3
Average Rate
of Change
Transcribed Image Text:The functionf (t) = -16t + 48t + 4 represents the height (in feet) of a volleyball t seconds after it is hit %3D into the air. a. Complete the table. t 0.5 1 1.5 2 2.5 3 f (t) b. Find the average rate of change for each 0.5-second interval in the table. Interval (seconds) O to 0.5 0.5 to 1 1 to 1.5 1.5 to 2 2 to 2.5 2.5 to 3 Average Rate of Change
Interval (seconds)
0 to 0.5 0.5 to 1 1 to 1.5 1.5 to 2 2 to 2.5 2.5 to 3
Average Rate
of Change
OOO OO
(feet per second)
c. What do you notice about the average rates of change when the function is increasing? decreasing?
The average rate of change
when the function is increasing and
when the function is decreasing.
Transcribed Image Text:Interval (seconds) 0 to 0.5 0.5 to 1 1 to 1.5 1.5 to 2 2 to 2.5 2.5 to 3 Average Rate of Change OOO OO (feet per second) c. What do you notice about the average rates of change when the function is increasing? decreasing? The average rate of change when the function is increasing and when the function is decreasing.
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