3. (Applies to Standards D3(1), D4(c,d,g,h), D6(b), D7(b), and D11(e)) Consider f(x) = %3D x +1 (a) Write the domain of f. (b) Compute f'(r) and simplify. (c) Find all r-values where f' is neither positive nor negative. Which of these values are also critical points? (d) List the intervals of incrcase and decrcase. Show your work in such a way the gradcr knows what you were thinking.

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
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3. (Applies to Standards D3(1), D4(c,d,g,h), D6(b), D7(b), and D11(e))
Consider f(x)
x +1
(a) Write the domain of f.
(b) Compute f'(x) and simplify.
(c) Find all r-values where f' is neither positive nor negative. Which of these values are also
critical points?
(d) List the intervals of incrcasc and dccrcase. Show your work in such a way the gradcr knows
what you were thinking.
(e) Classify all the critical points from part 3c as corresponding to local maxima, minima or
neither. Explain.
Transcribed Image Text:3. (Applies to Standards D3(1), D4(c,d,g,h), D6(b), D7(b), and D11(e)) Consider f(x) x +1 (a) Write the domain of f. (b) Compute f'(x) and simplify. (c) Find all r-values where f' is neither positive nor negative. Which of these values are also critical points? (d) List the intervals of incrcasc and dccrcase. Show your work in such a way the gradcr knows what you were thinking. (e) Classify all the critical points from part 3c as corresponding to local maxima, minima or neither. Explain.
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