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1) Sketch the graph of the function ℎ(?) = ?^5⁄3 − 5?^2⁄3 , showing all work...

1) Sketch the graph of the function ℎ(?) = ?^5⁄3 − 5?^2⁄3 , showing all work for domain, intercepts, asymptotes, increase/decrease, relative extrema, and concavity.

2) For the function ?(?) = 2?^2−6/(?−1)^2 , find a) all intercepts, and b) all asymptotes.

3) Determine the concavity of the function ?(?) = ?^2?^−? .

4) Use properties of logarithms to rewrite the expression below as a sum, difference, or multiple of logarithms. ln ?(rad 3)√?^2 + 1 3

5) Use properties of logarithms to rewrite the expression below as the logarithm of a single quantity. 5 ln(? − 6) + 1/2 ln(4? + 1)

For #6-8, find ?? ?? .

6) ? = (?^2 + 1)?^4?

7) ? = ln √(?+1/?−1)

8) 30 = ln(??) + 5?

9) Find an equation of the tangent line to the graph of the function ?(?) = ln 5(?+2)/? at the point (− 5/2 , 0). Write your answer in slope-intercept form.

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Expert Solution

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milcah answered 2 years ago
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