The graph of a function g is given. (a) Find g(-5). (b) Find g(-3). (c) Find g(-1). Y -6 -5 -4 -3 -2 -1 -1 (d) Find g(1). 6 5 4+ 3 2+ 1 2- -3 -4 -5- -6- G 1 2 3 4 5 6x
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- -9 (-inf,(-4)) -8 -7 -6 -5 -4 -3 a. Select an x-value in the first interval, (-∞, -4): -4 -2 Evaluate the function f(x) at your selected x-value: Will f(x) be positive or negative on the first interval? Negative b. Select an x-value in the second interval, (-4,4): 0 And evaluate the function f(x) at your selected x-value: Will f(x) be positive or negative on the second interval? Positive c. Select an x-value in the third interval, (4,00): And evaluate the function f(x) at your selected x-value: Will f(x) be positive or negative on the third interval? Negative ((-4),4) -1 8 1 2 3 4 5 6 (4,inf) 7 8 9The graph below is generated from the function (x - 2) (x + a) (x +b) (x – c) h (x) = | -6- -5- 3- 2 -7 -6 -5 -4 3 -2 -1 0 1 2 3 4 5 --1- --3- --4 -5- --6- 4- 寸 2.03(1-)(4.3) %3D O = (-)(x + 3) %3D O = (*)(* - 3) %3D Write the expressions for (g-h)(x) and (g+h)(x) and evaluate (g-h)(-1). Suppose that the functions g and h are defined for all real numbers x as follows.
- Which function has the same graph as f(x) = 214x - 6| + 18? O A f(x) = 214x- 6- 18 B. f(x) = 4|2x – 3 + 18 O C. f(x) = 4|2x – 3| + 9 O D. (x) = 4|2x – 3| + 26 Review progrn the function f, evaluate f(−6), f(−5), f(−1), and f(0). f(x) = x + 4 if x < −5 −2x − 1 if x ≥ −5 f(−6) = f(−5) = f(−1) = f(0) =Use the graphs of f and g to find (f+ g)( - 3). (f + g)( – 3) = f(x) -6 -4 -2 -2- -4- -6- יחר : 2 Enter your answer in the answer box.
- Find the vertex and axis of symmetry of the graph of the function. f(x)=x² + 6x + 8 A. (3,1); x = 3 B. (-3,1); x = -3 C. (-3,-1); x = - 3 D. (3,-1); x = 3-r +1 for x31 S(x) = 3x for x>1 Fart 1 of 7 (a) Graph the function. Part 2 of 7 (b) Write the domain in the interval notation. The domain in the interval notation is (-00, 00) Part 3 of 7 (c) Write the range in interval notation. The range in the interval natation is (-00, 1u (3, 00). Part 4 of 7 (d) Evaluate f(-1).(1), and f(3). (-1) = 0 (1) -0 (3) =9 Part: 4 /7 Fart 5 of 7 (e) Find the value(s) of X for which f(x) = 12. The value(s) of x for which f(x) = 12 is/are (If there is more than one solution, separate them with commas.)-r+1 for x1 3x for x>1 Part 1 of 7 (a) Graph the function. Part 2 of 7 (b) Write the domain in the interval notation. The domain in the interval natation is (-00, 00) Part 3 of 7 (c) Write the range in interval notation. The range in the interval natation is (-00, 1 u (3, 00). Part: 3/7 Fart 4 of 7 (d) Evaluate f(-1)./(1), and f(3). 1(-1) = | f(1) = f(3) =
- Graph the functions on the same screen using the given viewing rectangle. Viewing rectangle [−8, 8] by [−2, 8](a) y = 4 x (b) y = 4 x + 6 (c) y = 2 4 x + 6 (d) y = 3 + 2 4 x + 6 How is the graph in part (b) related to the graph in part (a)? If a graph is not supposed to be stretched or shrunk, enter "1" in the corresponding box on the right. If a graph is not supposed to be shifted in some direction, enter "0" in the corresponding box on the right.Find the zeros of the function. x3 -2x2 - 11x + 12 = 0 O(-3,2, 4) 0(-3, 1, 4) O(-2, 1, 4) 0(-2,-1, 1}Find the domain of the function. f(x) = 6 7 X-5 x+7 + What is the domain of f? O A. (-∞, -7) or (-7,5) or (5,00) OB. (-∞,5) or (5,00) OC. (-∞0,0) or (0,00) O D. (-∞0,00)