f(x) = x2 + x and so f(1) = 1 + 1 = 2 We want to approximate the slope at x = 1 using the slope between (1,2) and (1+h, f(1+h)).  Which of these is that slope? If h is small enough this will approximate the rate of change at x = 1. a) h2+3 b) h+3 c) 3 d) h2+3h

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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f(x) = x2 + x and so f(1) = 1 + 1 = 2

We want to approximate the slope at x = 1 using the slope between (1,2) and (1+h, f(1+h)).  Which of these is that slope? If h is small enough this will approximate the rate of change at x = 1.

a) h2+3

b) h+3

c) 3

d) h2+3h


 
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