Use the given conditions to determine which graph is a possible graph of the function f(x). a. f(-1) = -3 b.f'(-1) = 0 c.f'(x) < 0 if x < -1 d.f'(x) > 0 if x > -1 e.f"(x) > 0 for all x

Q: Below is the graph of f"(x). For what values of x is f(x) concave up? 1S (x) + + -8 -7 -6 -4 -3 -2…

A: Topic:- Functions

Q: The following is a graph of f(x). Use the graph to answer the following questions: x2 x3 x4 А. What…

A: From the given figure:   So, now drawn the tangent at each given point.       As we know that:   If…

Q: ider the graph of the function f(x) = x¹. n change in the function rule will translate f(x) to the…

A: Given query is to find the option which translates the function in left.

Q: 2. Using the graph of f(x) provided, create a sign chart for f'(x).

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Q: 2. (a) Sketch the graph of y = f'(x) given the graph of y = f(x). (b) Specify the domain and range…

A: Graph

Q: f" (x) 0, nn +4 f' (n) = −n f' (n + 4) = n +1 f(n) = n f(n+4)=n+7

A: The given condtions are

Q: Use the graph below to fill in the missing values. f(x) -1 4 f(0) = f(«) — 0, х 3 f -'(0) = f («) —…

A: To find f(0) we find y when x=0 At x=0, y=4 So, f(0)=4

Q: 6. Sketch the graph of the function having the given characteristics. f(-6) = f(4) = 0 f'(-2) =…

A: Given the characteristics of the graph of a function:

Q: 1. (a) For the function f(x)=x* - x² (whose %3| | graph is shown) use the power rule to take…

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Q: If f'(x) = (2-2x)e(1-x), which of the following statements is true about the graph of f(x)? Select…

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Q: 1. Given the function f(x) = x³ - 3x² - 9x + 7, make a sign diagram for the first derivative and…

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Q: -2 -1.5 g(x) --1 -0.5 a 1.5- -1- -0:5- --0:5- -1- -1.5- -2- f(x) 0.5 g(x) 1.5 2

A: We have to find value of differentiation of h(x) at mentioned x values x= 0,1.5, -0.5 and find the…

Q: (a) Let h(x) = f(x)/g(x). Find h'(1). (b) Let h(x) = g(f(x)). Find h'(-1).

A: Definition used -           Quotient rule of derivative -…

Q: 5. Sketch the graph of f'(x) on the graph of f(r) provided.

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Q: Use the following graph of the function f(x) to draw f'(x) and f''(x).

A: Given: Graph of the function f(x) is shown as:

Q: Consider the graphs of these three functions. 6 10 f" (x) is the [Select ] [ Select ] Dashed Line v.…

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Q: 4. 3 -5 -3 -2 -1 -1 1 2 3 4 -2 -3 -4 -5 2.

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Q: = -x7/6. Compute the quantity f'(1). Let f(x) = -x7/6 ƒ'(1) = Number

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Q: 1. Sketch the graph of a function with the following properties: • f'(x) > 0 when x 5 f'(2) = 0 and…

A: We draw the graph with the help of given values ..

Q: Use the graph of f and g. p(x) = f(x)g(x) f(x) g(x) q(x) y 10 8. f 4 2 -2 4 6. 8 10 -2 (a) Find…

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