1) Sketch the graph of the function â„Ž(?) = ?^5â„3 − 5?^2â„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.
