1. The graph of a function y = f(t) is shown below. (a) On the graph below, sketch the line with slope e)-f(a through the point (a, f(a)). %3D 10 a 10 (b) Fill in the blanks: If we let r get closer and closer to a (from either the left or right), the line that I sketched above gets closer and closer to the line to the curve y = f(t) at

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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1. The graph of a function y = f(t) is shown below.
(a) On the graph below, sketch the line with slope e@ through the point (a, f(a)).
エーロ
10 +
a
10
(b) Fill in the blanks: If we let r get closer and closer to a (from either the left or right), the
line that I sketched above gets closer and closer to the
t = a. Hence, the slope of this line,
line to the curve y
f(t) at
f(x)-f(@)
approaches
as r approaches a.
エーロ
Choose items from the list below to fill in the blanks. (You don't need to use them all!)
sine, cosine, tangent, secant, f(a), f' (a), f"(a).
Transcribed Image Text:1. The graph of a function y = f(t) is shown below. (a) On the graph below, sketch the line with slope e@ through the point (a, f(a)). エーロ 10 + a 10 (b) Fill in the blanks: If we let r get closer and closer to a (from either the left or right), the line that I sketched above gets closer and closer to the t = a. Hence, the slope of this line, line to the curve y f(t) at f(x)-f(@) approaches as r approaches a. エーロ Choose items from the list below to fill in the blanks. (You don't need to use them all!) sine, cosine, tangent, secant, f(a), f' (a), f"(a).
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