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Consider the function f(x) = x² – 3x. The graph of y = f(x) is shown below. 1. Draw the secant line from x = Estimate the slope of the secant line from the graph. 2 to x = 2.5. -2 2. Find the AROC of f (x) from x = 2 to x = 2.5. Show clear, organized work. Does your answer match the slope of the secant line in #1? 3. Find the AROC of f(x) from x = 2 to x = 2+ h. Show clear, organized work. Simplify your answer assuming h + 0. 2.

Consider the function f(x) = x² – 3x. The graph of y = f(x) is shown below. 1. Draw the secant line from x = Estimate the slope of the secant line from the graph. 2 to x = 2.5. -2 2. Find the AROC of f (x) from x = 2 to x = 2.5. Show clear, organized work. Does your answer match the slope of the secant line in #1? 3. Find the AROC of f(x) from x = 2 to x = 2+ h. Show clear, organized work. Simplify your answer assuming h + 0. 2.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the function f (x) = x² – 3x. The graph of y =f(x) is shown below. 1. Draw the secant line from x = 2 to x = 2.5. Estimate the slope of the secant line from the graph. 2. Find the AROC of f (x) from x = 2 to x = 2.5. Show clear, organized work. Does your answer match the slope of the secant line in #1? 3. Find the AROC of f (x) from x = 2 to x = 2 + h. Show clear, organized work. Simplify your answer assuming h + 0. 4. Use your answer from #3 to find the AR0C from x = 2 to x = 2.5. Does your answer match your answers for #1 and #2.
Transcribed Image Text:Consider the function f (x) = x² – 3x. The graph of y =f(x) is shown below. 1. Draw the secant line from x = 2 to x = 2.5. Estimate the slope of the secant line from the graph. 2. Find the AROC of f (x) from x = 2 to x = 2.5. Show clear, organized work. Does your answer match the slope of the secant line in #1? 3. Find the AROC of f (x) from x = 2 to x = 2 + h. Show clear, organized work. Simplify your answer assuming h + 0. 4. Use your answer from #3 to find the AR0C from x = 2 to x = 2.5. Does your answer match your answers for #1 and #2.
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