12:42 PM O4 ༢་་བ་་-་་་་P་ Question 21 Select the choice that is a graph of the function 2(x+1)(x-3) f(x) = 3 x-2 7 6 -7 -6 -5 -4 1 2 4 5 -7 -6 -5 6 5 5 7 a 4 7 = ||| → 58 69.2 4G 71 K/S 0/1 F 12:42 PM O4 Question Help: Video Post to forum Question 20 Select the choice that is a graph of the function f(x) 2- (x+1)(x-3) (x+4)(x-6) Note that the graph also shows the vertical asymtotes, x-intercepts (zeros of the function), and y-intercept. -9-8-7-6-5-3 8 7 5 4 3 9 8 7- 6 4 3 2 -5 9 8 7 6 5 4 -9- 9 8 7 6 5 4 5 = ||| >> 58 14.2 4G 0/1 pt 2 98 D

Refer to the graph of the function f in the following figure. = 65 5 -2* (a) Find f(0). f(0) 4 3- 2- 1+ X = (i) f(x) = 3 X = (ii) f(x) = 0 X (b) Find the value of x for which f(x) = 3 and f(x) = 0. X 4 X y = f(x) 5 X

Which of the following is the graph of f(x)= (x -2)^3

10 x Show that the function f(x)= is not 5 x^2+1 one-to-one functions by giving two different real numbers a and b such that f(a)= f(b)

A function g has domain equal to the positive integers. Furthermore, g(2021)=2/2021 and g(1)+g(2)+...+g(n)=n^2g(n) for each positive integer n greater than or equal to 2. Determine the exact value of g(1) .

Consider the attached graph ‚which corresponds to a function h. see the graph in the images According to the graph, the criterion of h corresponds to: a) h(x)= 3cos(x-1)+1 b) h(x)= 3sin(x+1)- c) h(x)= 3sin(x-1)+1 d) h(x)= 3cos(x+1)-1

Sketch a graph of the function f(x) = 5 sin 3 4 -8n -7T -6N -5T -4 -3t -2t -I 1 3n 4 6 7t 8T -2 -3 -4 -5 -6+

A function and its graph are given. Fx) = + 4x - 20x - 20 250 200 150 100 50 -10 -5 - 50 (a) From the graph, estimate where f"(x) > 0. (Enter your answer using interval notation.) Estimate where f"(x) 0. (Enter your answer using interval notation.) Find where f"(x) < 0. (Enter your answer using interval notation.) Find where f"(x) = 0. (Enter your answers as a comma-separated list.) Find where f'(x) has its relative maxima and relative minima. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) relative maxima relative minima

21) Use n graphing utility to graph f(x) = Se+ - 10 and approximate its zero accurate to three decimal places. (a) 1.693 (b) -0.307 (c) 0.588 (d) -1.693 (c) Nonc of these

Draw the graph of f (x) = 16 x3 - x2 + 3x + 3 in the window [-2, 6] by [-10, 20]. It has an inflection point when x = 2, but no relative extreme points. Enlarge the window a few times to convince yourself that there are no relative extreme points anywhere. What does this tell you about f (x)?