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Problem 9: For the function below, find an equation for a secant line containing (1,ƒ(1)) and (2, f(2)).

Problem 9: For the function below, find an equation for a secant line containing (1,ƒ(1)) and (2, f(2)).

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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Midterm Review Problem 8: Find the average rate of change from -8 to 4 for the function below. f(x) = 4x3 + 7x2 + 4 Problem 9: For the function below, find an equation for a secant line containing (1,ƒ(1)) and (2, f(2)). f(x) = x3, Problem 10: Use these functions f(x) = 5x² + 3x h(x) = 2x + 7 To evaluate: 2f(3x) – 3h(x) f(x +3) Problem 11: Find and simplify the difference quotient f(x+h)-f(x). for the function h f (x) = x² + 6x + 7 Problem 12: Determine algebraically whether the following functions are even, odd, or neither. -x3 g(x) = -4x² + 3 f(x) = 6x2 + 9 Problem 13: Graph the function below. State the range and domain using interval notation. x +1 if -x+ 4 if if -9<x < 3 x = 3 x > 3 f(x) = {-8
Transcribed Image Text:Midterm Review Problem 8: Find the average rate of change from -8 to 4 for the function below. f(x) = 4x3 + 7x2 + 4 Problem 9: For the function below, find an equation for a secant line containing (1,ƒ(1)) and (2, f(2)). f(x) = x3, Problem 10: Use these functions f(x) = 5x² + 3x h(x) = 2x + 7 To evaluate: 2f(3x) – 3h(x) f(x +3) Problem 11: Find and simplify the difference quotient f(x+h)-f(x). for the function h f (x) = x² + 6x + 7 Problem 12: Determine algebraically whether the following functions are even, odd, or neither. -x3 g(x) = -4x² + 3 f(x) = 6x2 + 9 Problem 13: Graph the function below. State the range and domain using interval notation. x +1 if -x+ 4 if if -9<x < 3 x = 3 x > 3 f(x) = {-8
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