Graph the following absolute value functions.
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Graph the following absolute value functions. 8. f (x)-3x+2|-4 10 m O 4. ON -10-8-6-4-2 2...
Consider the functions f(x) = 4-xand g(x) = 3x +5. Find the value of f(g(-2)). O 3 O 1 05 O 0
Begin by graphing the absolute value function, f(x)= |x|. Then use transformations of this graph to graph the given function. g(x)-3 x-2| +4 What transformations are needed order to obtain the graph of g(x) from the graph of f(x)? Select all that apply. A. Vertical shift B. Reflection about the y-axis C. Vertical stretch/shrink D. Horizontal shift E. Reflection about the x-axis F. Horizontal stretch/shrink Choose the correct graph below. O C. O D. O A. ОВ. A V 40...
Question 2 Find the indicated function value. Find f(-4) when f (x) 2² +4 23 62 O-2/7 0-5/16 0 - 1/2 O-2/5 Question 3 BILI SUULILULUI NV, O Question 5 3 pts Find the indicated function value: f(3) = 5 - 8a, g(x) = -3x + 8. Find (f + 9) (x) - 3x + 5 - 5x + 13 0 - 11x + 13 2x Question 6 3 pts Find the composition of functions: f(x) 70? + 4x, g(x)...
10. Which of the functions corresponds to the graph? 10+ 10. A f(x)=6+3 B. f(x)=e* +4 C. f(x)=et +4 D. f(x)=e*+3
Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum values of f. (If an answer does not exist, enter DNE.) | 16 – x2 if -4 <x< 0 f(x) 3x - 2 if O SX4 = absolute maximum DNE absolute minimum -2 local maximum DNE local minimum
3x + 6, if x so (8 pts) 5. Sketch the graph of f(x)= x+3, ifx>0
Graph by plotting points. 10- y = - 3x + 2 8- 6- 4 Use the graphing tool on the right to graph the equation Click to enlarge graph 2- LO -10 4 -6 -4 -2 2 Click the graph, choose a tool in the palette and follow the instructions to create your graph.
1. (2 pts each) The graph of some unknown function f is given below. 10 6/ 8-64-2 624 10 12 Use the graph to estimate the following quantities: (0 f (9) (g) f(4) b) lim (a) lim (e) (d) lim ( 6) (e) lim f(x) (c) lim f(x) if g(x)f(x) 6) a value of r where f is continuous but not differentiable (k) a value of r where f"(x) 0 and f"(x)>0 (1) the location of a relative maximum value...
2. Draw a possible graph of the function described: (6 pts.) 10 O 00 07 f(-3)=4, f (2)=0 f'(-4)= f'(2) = f'(9)=0) f'>0 when x < -4 and x > 2 f' <0 when - 4<x<2 f">0 when -1<x< 5 or 9<x<10 f" <0 when x < -1 or 5<x< 9 or x >10 4 N NH -10 -8 -6 -4 -2 -2 4 07 8 10 -4 -6 -8 -10
Question 8 f(x) = 3x2 + 2 Find f'(x). 0 sqrt(6x) O (3x^2 + 2)^3/2 O 1/sqrt(3x^2 + 2) O 3x/sqrt(3x^2 + 2)