The graphs of g(x) and h(x) are shown. Define the function f(x) as f(x) = g(x) h(x) - 9 8- 7 6 5 4 3 2 1 f'(3) = g(x) 1 g(x) h(x)' 2 3 x-values then 4 5 y-values 5 4 3 2 h(x) 1 2 3 x-values Round to 4 decimal places as ne 4 LEARNING OBJECTIVES ssary. Rates of Cha

Q: (1) Sketch the graph of f(x). Be sure to label the axes and that the graph is consistent with your…

A: We have to graph the given function.

Q: -7 -6 -5 -4 -3 1 2 3 J 4 5

A: We have a graph of f(x)We have to sketch graph of f'(x)

Q: represents

A: False

Q: A ball is thrown from the top of a wall onto horizontal ground. The path of the ball is modelled…

A: The path of the ball is given by the below function. fx=6+8x−x2 To determine the height from which…

Q: 5. Simplify the difference quotient f(a+h)-f(a) for the function f(x)%3D 3x+4 Use %3D h correct…

A:

Q: Suppose that f is a function given as f(x) = -3x² - 2x - 3. Simplify the expression f(x + h). f(x +…

A: f(x)=-3x2-2x-3(i) f(x+h)=-3(x+h)2-2(x+h)-3

Q: f(x) is a function such that f"(x) > 0 for x # 0 and f"(0) is undefined. Sketch 2 different graphs…

A: Here we need to plot two functions such that and f''(0) is undefined.In other words f(x) is concave…

Q: Let f(x)= x^4 If g(x) is the graph of f(x) shifted right 6 units, write a formula for g(x)

A: We have to write a formula for g(x) when f(x) shifted right 6 units.

Q: As the speed of a train increases, the amount of power needed to maintain that speed increases, and…

A:

Q: From the graph of f(x), determine the graph of f'(x). -6 -5 -4 -3 -2 -1 y 6 10. d 3 2 1 O -1 V 2 3 5…

A: Given graph for f

Q: Use the tables for functions f and g to evaluate each. f(x) g(x) (f - 9)(6) = f(-5) = -5 -3 4 2 1 -5…

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Q: What is the new function for g(x)

A: