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2.) Find the difference quotient. (a) For g(x) = 4x-9, evaluate (-+)-(-3), ho (b) For f(x)=x²-6x, evaluate (2)-(2), ho

2.) Find the difference quotient. (a) For g(x) = 4x-9, evaluate (-+)-(-3), ho (b) For f(x)=x²-6x, evaluate (2)-(2), ho

Calculus: Early Transcendentals
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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2.) Find the difference quotient. (a) For g(x) = 4x-9, evaluate (-3+h)-g(-3) h+0 (b) For f(x) = x² - 6x, evaluate (2+)-(2), hmo 0 k
Transcribed Image Text:2.) Find the difference quotient. (a) For g(x) = 4x-9, evaluate (-3+h)-g(-3) h+0 (b) For f(x) = x² - 6x, evaluate (2+)-(2), hmo 0 k
1.) Evaluate the function for the given value of the independent variable. Then sketch a graph of the function. Is your graph a function, for sure? How do you know? (HINT!! You may need to determine more points in one or more of the pieces to be able to sketch a graph... remember, for linear pieces, you need to know TWO points to determine its slant.) Ay (-x-5, (3x+1, (a) f(x) = { The step-by-step: Top piece Find f(-4). x<-2 x2-2 Find 2. On the graph, this is an open circle. Connect the two points with a straight line starting at the open circle and go past the other point. This will be a ray with an arrow pointing toward the left. Bottom plece Find f(-2) and f (0) (or some other x-value that is larger than -2.) Both of these are closed circles. Connect the two points with a straight line starting at the closed circle and go past the other point. This will be a ray with an arrow pointing toward the right. 3, x≤-4 (b) g(x)=x-2, -4< x≤0 (2x-1, x>0 -10 -8 T ➜ 2 tol A.
Transcribed Image Text:1.) Evaluate the function for the given value of the independent variable. Then sketch a graph of the function. Is your graph a function, for sure? How do you know? (HINT!! You may need to determine more points in one or more of the pieces to be able to sketch a graph... remember, for linear pieces, you need to know TWO points to determine its slant.) Ay (-x-5, (3x+1, (a) f(x) = { The step-by-step: Top piece Find f(-4). x<-2 x2-2 Find 2. On the graph, this is an open circle. Connect the two points with a straight line starting at the open circle and go past the other point. This will be a ray with an arrow pointing toward the left. Bottom plece Find f(-2) and f (0) (or some other x-value that is larger than -2.) Both of these are closed circles. Connect the two points with a straight line starting at the closed circle and go past the other point. This will be a ray with an arrow pointing toward the right. 3, x≤-4 (b) g(x)=x-2, -4< x≤0 (2x-1, x>0 -10 -8 T ➜ 2 tol A.
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