5. A graph of the function fx= x3-3x2 shown below. Each of the following graphs (a-d) show a function transformed from this one. Find a formula for each function. Explain how the function was changed. (1.25 pts)
5. A graph of the function fx= x3-3x2 shown below. Each of the following graphs (a-d)...
5. A graph of the function fx= x3-3x2 shown below. Each of the following graphs (a-d) show a function transformed from this one. Find a formula for each function. Explain how the function was changed. (1.25 pts) - N -2-) E- . آشناير 12 (4.23
3. (12 pts) Find the absolute maximum and absolute minimum of f(x) x3 3x2-9x -4 on the interval [0, 4]. 12 AT 4. (10 pts) Sketch the graph of a function f(x) which has the following characteristics: (2) 1, f(5) 5, lim f(), i f)1, m끊f(x)-1, and limo f(x) = 4. 3. (12 pts) Find the absolute maximum and absolute minimum of f(x) x3 3x2-9x -4 on the interval [0, 4]. 12 AT 4. (10 pts) Sketch the graph of...
Consider the following. f(x) = 1 4 x4 + 1 2 x3 − 3x2 + 4 Find f '(x). f '(x) = x3+ 3x2 2−6x Find f ''(x). f ''(x) = 3x2+3x−6 Find the x-values of the possible points of inflection. (Enter your answers as a comma-separated list.) x = Determine the intervals on which the function is concave up. (Enter your answer using interval notation.) Determine the intervals on which the function is concave down. (Enter your answer using...
4. Consider the graph of the function f shown below. Use this graph to sketch the graphs of the following functions. To print an enlarged copy of the graph, go to the website www.mathgraphs.com (a) f(x) (c) 2f(x) 4 (d) fx) (f) f(x) (e) -f() (g) f(x) 2 4 -2 -4
F = ? Question 10 of 10 The graph of Fx), shown below, resembles the graph of G(x) = x2, but it has been changed somewhat. Which of the following could be the equation of F(x)? GOO = x2 A. F(x) = x2 - 3 B. F(x) = -x2 - 3 O c. Fx) = -(x - 3)2 O D. Fx) = -(x + 3)2
Find the ABSOLUTE MAXIMUM value of the function f(x) = – x3 + 3x2 - 4 on the closed interval [ – 2,1]. 1A - 4 B. o C-1 D. -2 E 16
allowed time frame. Question 11 4 pts Find the derivative of the function. x3 f(x) = In X X3 O 3x2 x3-2 O 3x2-1 x(x3 - 2) O 2x3 + 2 x(x3 - 2)
5. Find a formula for an exponential function whose graph passes through the points (1,3) and (5,40). 6. Consider the function h(x) = 5/12 - 3x (a) For what values of x is the quadratic function f(x) = 12 - 3x2 zero or positive? (b) What can part (a) tell you about h(x)?
The function f(x) is given by the graph below: (a) Write a piece-wise formula for f(x): (b) Determine if each of the following graphs are simple (single shifts, scalings, or reflections) transformations of f(x). If it is, write a formula for the graph in terms of f. Otherwise, explain why it is not The function f(x) is given by the graph below: (a) Write a piece-wise formula for f(x): (b) Determine if each of the following graphs are simple (single...
The graph of y = -x – 3 is shown below. Use the graph to determine which of the ordered pairs is a solution to the equation. Select all that apply: (-3,-2) (1,-4) (-3,-4) (-3,0) (0,0)