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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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