5 -4 -3 -2 -1 2 3 4 5 -1 -2 1. State the absolute extrema of the function graphed above, and state where these extrema occur. 2. State the local extrema of the function graphed above, and state where these extrema occur. 3. Find the critical points for the function graphed above. 4. Find the singular points for the function graphed above. 5. Use the closed interval method to find the absolute extrema for f(x) = 275/3 - 22/3 + 1 on [0, 1]. 6. Use the closed interval method to find the absolute extrema for f(x) = e- cost + cosa on [0, 2x]. 7. Use the closed interval method to find the absolute extrema for f(x) = alna + 7x on [e-9, e3]. 8. Prove that for all a, be R, it is true that barctan b - - In(b2 + 1) - aarctana + , In(a? + 1)