f(x) is continuous on (-∞,00). Use the given information to sketch the graph of f. f'(x) f''(x) + + 0 -3 -2.5 + + 0 - +0 5 1 X f(x) | 7.9 3.7 0 -2.7 -3.8 -7.9 -5 -2.5 0 5 0 6

Q: Let f(x) be a function with domain (-00, 3) U (3,00). Use the graph of f'(x) below to determine the…

A: Step 1:

Q: 13) Graph if f(x) = x when x = -1,2,4, or 8; f'(x) = 0 if x = -1,2,4, or 8; f'(x) 0 throughout…

A: Given: 1. fx=x when x=-1,2,4,8.            2. f'x=0 when x=-1,2,4,8.            3. f'x<0 for…

Q: What is an example of a function f : [-2, 2]-->R which is not differentiable at -1 but which is…

A: To find an example of a function                                   f : [-2, 2]→R which is not…

Q: Compute f’(-2) using shortcut rules. f(x) = 5x + 9

A:

Q: The graph of function f(x) = x³ 6x2 + 9x + 1 is concave upward on (-∞, 2) (-0, 0) (2, оо) о (-2, 2)

A: f is concave up when f''(x) is greater than 0

Q: Given the graph of ƒ' (x) below, where the Dom f (x) = (-∞, ∞). Find all INFLECTION point(s) of…

A:

Q: (3, -13. -mplete the following statements. x) > 0 on the interval(s) x) 0 on the interval(s)

A: Solution of the problem as follows

Q: es of f'(-7), f'(-4) & f'(-2)

A: at x= -7 graph is increasing At x = -4 graph gives local Maxima At x = -2 graph is decreasing

Q: Assume that for a function f(x), f'(x) « O on the interval (-0, -5) and f'(x) » O on the interval…

A: From the given definition:  f ' (x) < 0 when x < -5 so graph must be decreasing in this…

Q: Sketch the graph of f(x) = x2 - 9, x =< 4 f(x) = 8x - 25, x =< 4 Is f(x) continuous at x=4?…

A: To check: Whether the functions f(x) = x2 - 9, x≤4 and f(x) = 8x - 25, x≤4or not. . Solution: Sketch…

Q: Given the graph of ƒ' (x) below, where the Dom f (x) = (-∞, ∞) . Find ALL interval(s) for which f""…

A:

Q: Shown is a graph of y=f(x) Evaluate f^-1(1)

A: Given, y=f(x) Graph

Q: 1. + + -1 1 2 3. a. Use the graph to explain why, for h > 0, f(a – h) – f(a) -h f(a + h) – f(a) <…

A: The formula for f’(x) for f(x) = 2x is given asddxax=axlnaif a=2 then:ddx2x=2xln2f'x=2xln2