16. [-/4 Points] DETAILS SPRECALC7 1.T.017. 0/1 Submissions Used (a) Sketch the graph of y = x2 4. O Y 10' (b) Find the x and yintercepts of the graph. x-intercepts (x, y) = ( (x. y) =( y-intercept (x, y) = ( (c) Is the graph symmetric about the xaxis, the yaxis, or the origin? (Select all that apply.) 0 xaxis C} y-axis O origin ) ) (smaller x-value) ) (larger xvalue) MY NOTES ASK YOUR TEACHER 10 22. [-/4 Points] DETAILS SPRECALC7 2.T.006. 0/'l Submissions Used MY NOTES ASK YOUR TEACHER Determine the net change and the average rate of change for the function f(t) = t2 4t between t = 4 and t = 4 + h. net change average rate of change ' l 23. [-/4 Points] DETAILS SPRECALC7 1.3.127.MI. 0/1 Submissions Used MY NOTES ASK YOUR TEACHER Factor the expression completely. (This type of expression arises in calculus when using the "Product Rule") 5(x2 + 5)4(2x)(x 3)4 + (x2 + 5)5(4)(x 3)3 l: 17. [I4 Points] DETAILS SPRECALC7 2.T.020. 0/1 Submissions Used MY NOTES ASK YOUR TEACHER A graph of a function fis given below. Y 15 2 Find f'1(9) and f'1(13). f'1(9) = :1 W13) =:] 18. [-I4 Points] DETAILS SPRECALC7 2.T.014. 0/1 Submissions Used MY NOTES ASK YOUR TEACHER x3 8x+2' Find the inverse function of f(x) = mi i 19. [l8 Points] DETAILS SPRECALC7 1.2.040. 0/1 Submissions Used MY NOTES ASK YOUR TEACHER Simplify each expression, and eliminate any negative exponents. 3 2 3 2 (a) (x 2 )(2X y4) 4y9 z3 (F7453)2 (b) Use part (a) to graph the function g(x) = (x - 4)3 - 3. 7. [-/4 Points] DETAILS SPRECALC7 2.T.008. 0/1 Submissions Used MY NOTES ASK YOUR TEACHER 10 (a) Sketch the graph of the function f(x) = x3. 10 10 -10 -5 5 10 -10 -5 10 -5 10 -10 1-5 10 -5 -5 -5- O -10 O -10 O -10 O 10 10 10 10 5 X -X -10 -5 10 -10 5 10 -10 -5 10 -10 10 -5 -5 -10 O O O -10 O -1020. [-/4 Points] DETAILS SPRECALC7 2.T.015. 0/'l Submissions Used (a) If f(x) = \\/8 x, find the inverse function f'1(x). F100 = (b) Sketch the graphs of fand i"1 on the same coordinate axes. Y MY NOTES ASK YOUR TEACHER 21. [-/4 Points] DETAILS SPRECALC7 2.T.021. 0/1 Submissions Used A graph of a function f is given below. MY NOTES ASK YOUR TEACHER 10 2 4 6 10 -5 Sketch the graph of f-1. 10 10 f1 5 / -2 2 4 6 8 10 -2 2 4 6 -5 8 10 -5 O --10 O --10 - 4 10 10 -2 2 6 8 10 L - 2 2 6 -5 8 10 -5 O --10 O -10