Problem 11: Find and simplify the difference quotient x+h)-f(x). for the function h. f(x) = x² + 6x +7

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.7: A Library Of Parent Functions
Problem 47E
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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_ x
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
(x+h)-f(x)
for the function
f(x) = x² + 6x+7
Problem 12: Determine algebraically whether the following functions are even, odd, or neither.
-x3
6x2 +9
g(x) = -4x² + 3
f(x)
Problem 13: Graph the function below. State the range and domain using interval notation.
if -9<x< 3
x = 3
x +1
f(x) = {-8 if
(-x + 4 if
x > 3
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_ x 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 (x+h)-f(x) for the function f(x) = x² + 6x+7 Problem 12: Determine algebraically whether the following functions are even, odd, or neither. -x3 6x2 +9 g(x) = -4x² + 3 f(x) Problem 13: Graph the function below. State the range and domain using interval notation. if -9<x< 3 x = 3 x +1 f(x) = {-8 if (-x + 4 if x > 3
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