For each problem, determine if the MVT and/or EVT can be applied to the function on the given interval. Explain your answer. (1 point correct answer, 1 point explanation). 2 2 1) y=(x-1)% [3,1] 2) y=(7x-17); [-1,2] 2 2 X x"+4 3) y= = [4.-2 4) y= [1,6 )y T [ ] ) (1, 6] 5) y= \\4|-1; [0, 4] 6) y= \\xz~5x+4\\~1; [-2,0] For each problem, find all points of absolute minima and maxima on the given interval. (1 point for finding the derivative, 1 point for finding critical value with work shown, 1 point for EVT table, 1 point for identifying the correct answer). T p==xtadda'l; 2, 1] 8) y=x'-2x"+4; [0,2] For each problem, find the values of that satisfy the Mean Value Theorem. (1 point for fb) - la) finding f'(), 1 point for calculating b , 1 point solving for withwork shown.) a 9) y=x>+4x-5; [0,2] 10) y=x>x*-2; [-1,1] For each problem, find the values of that satisfy the Mean Value Theorem. 11) fx)=-x*+4x'-6; [1,3] The table below provides selected values for the differentiable function f (x) on the interval [-3,5]. x: -3 -1 2 5 flx): 8 6 2 -4 12) Is there a value c on the interval for which 13) Is there a value c on the interval for which f'(c) = -2 on the interval [2, 5]? Justify f(c) = -2 on the interval [2, 5]7 Justify your answer. your answer. 14) What is a critical value? Determine if each statment below is true or false 15) If x = is a critical value, then f(c) is a 16) If f(c) is a relative extrema, then x =cis a relative extrema critical value. Use the Graph in #16 to answer the questions that follow (there is a vertical tangent line at x = 5) 17) Where are the critical values? 18) Where are the relative minima? 19) Where are the relative maxima? 20) Where are the absolute maxima? 21) Where are the absolute minima