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For the function f(x) = =, evaluate and simplify the Difference Quotient. SHOW ALL WORK. Solution: Difference Quotient = b) Use the difference quotient to find the average rate of change of the function f(x) over the interval (3, 3 + h), where h = 1: slope of secant line %D ; {Give at least 4 decimal places} and also h = .1 : slope of secant line %3D . {Give at least 4 decimal places} Sketch each of these situations in your Notebooks. c) What value of h will produce a secant line with a slope of -0.4443 over the

For the function f(x) = =, evaluate and simplify the Difference Quotient. SHOW ALL WORK. Solution: Difference Quotient = b) Use the difference quotient to find the average rate of change of the function f(x) over the interval (3, 3 + h), where h = 1: slope of secant line %D ; {Give at least 4 decimal places} and also h = .1 : slope of secant line %3D . {Give at least 4 decimal places} Sketch each of these situations in your Notebooks. c) What value of h will produce a secant line with a slope of -0.4443 over the

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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For the function \( f(x) = \frac{4}{x} \), evaluate and simplify the Difference Quotient. SHOW ALL WORK. **a) Solution: Difference Quotient =** [Blank space for answer] **b) Use the difference quotient to find the average rate of change of the function \( f(x) \) over the interval \([3, 3 + h]\), where** \( h = 1 \): slope of secant line = [Blank space for answer] {Give at least 4 decimal places} and also \( h = 0.1 \): slope of secant line = [Blank space for answer] {Give at least 4 decimal places} Sketch each of these situations in your Notebooks. **c) What value of \( h \) will produce a secant line with a slope of -0.4443 over the interval from \([3, 3 + h]\)?** \( h = \) [Blank space for answer] {Give at least 4 decimal places when needed.}
Transcribed Image Text:For the function \( f(x) = \frac{4}{x} \), evaluate and simplify the Difference Quotient. SHOW ALL WORK. **a) Solution: Difference Quotient =** [Blank space for answer] **b) Use the difference quotient to find the average rate of change of the function \( f(x) \) over the interval \([3, 3 + h]\), where** \( h = 1 \): slope of secant line = [Blank space for answer] {Give at least 4 decimal places} and also \( h = 0.1 \): slope of secant line = [Blank space for answer] {Give at least 4 decimal places} Sketch each of these situations in your Notebooks. **c) What value of \( h \) will produce a secant line with a slope of -0.4443 over the interval from \([3, 3 + h]\)?** \( h = \) [Blank space for answer] {Give at least 4 decimal places when needed.}
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