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  3. 1) sketch the graph of the function â„Ž(?) = ?

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

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Basic Math

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) allintercepts, and b) all asymptotes.

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

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

5) Use properties of logarithms to rewrite the expression belowas 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 thefunction ?(?) = ln 5(?+2)/? at the point (− 5/2 , 0). Write youranswer in slope-intercept form.

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