Check Your Understanding! 1. The function H(d) represents the amount of homework problems assigned, d days into the school year. The function T(p) represents the amount of time it takes, in minutes, to complete p problems. Interpret the meaning of the statement T(H(40)) = 128 in context. %3D

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Check Your Understanding!
1. The function H(d) represents the amount of homework problems assigned, d days into the
school year. The function T (p) represents the amount of time it takes, in minutes, to complete
p problems. Interpret the meaning of the statement T(H(40)) = 128 in context.
2. Find f(g(x)) and g(f(x)) for the pair of functions given and state the domain of each.
f(x) = 1/x , g(x) = vx – 9
3. The graph of a function f(x) defined for -5 <x< 5 is shown below. The function g is given
g(x) = |x|.
f(x)
-5
-3
-2
-1
Transcribed Image Text:of of order matters.! Check Your Understanding! 1. The function H(d) represents the amount of homework problems assigned, d days into the school year. The function T (p) represents the amount of time it takes, in minutes, to complete p problems. Interpret the meaning of the statement T(H(40)) = 128 in context. 2. Find f(g(x)) and g(f(x)) for the pair of functions given and state the domain of each. f(x) = 1/x , g(x) = vx – 9 3. The graph of a function f(x) defined for -5 <x< 5 is shown below. The function g is given g(x) = |x|. f(x) -5 -3 -2 -1
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