The function f(t) = 16t – 4ť² gives the height of a ball in feet t seconds after it's propelled upwards into the air. (a) Describe in words what f(1) = 12 means.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 52E
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question 1 is parts a b c and d

1. The function f(t) = 16t –
4t2 gives the height of a ball in feet t seconds after it's propelled upwards into the air.
(a) Describe in words what f(1) = 12 means.
(b) Graph f(t). What is the domain of f (t), and how can we need restrict the domain of f to make it invertible? Why
do we need to restrict the domain to those values?
Transcribed Image Text:1. The function f(t) = 16t – 4t2 gives the height of a ball in feet t seconds after it's propelled upwards into the air. (a) Describe in words what f(1) = 12 means. (b) Graph f(t). What is the domain of f (t), and how can we need restrict the domain of f to make it invertible? Why do we need to restrict the domain to those values?
(c) Graph the inverse of f(t) on your restricted domain from part (b).
(d) Considering that f-'(16) = 2, what does this mathematical statement mean in context?
Transcribed Image Text:(c) Graph the inverse of f(t) on your restricted domain from part (b). (d) Considering that f-'(16) = 2, what does this mathematical statement mean in context?
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