5. Consider the graph of f'(x), the derivative of y = f(x), defined on the domain...

Transcribed Image Text:

5. Consider the graph of f'(x), the derivative of y = f(x), defined on the domain -9 < x < 9, as given in the graph. 10 W -10 -10- 10 a. For what values of x does f(x) have a relative minimum? Explain. (4 points) b. For what values of x does f(x) have a relative maximum? Explain. (4 points) C. Determine the open intervals where the graph of f(x) is concave downwards. Show the analysis that leads to your conclusion. (5 points) d. Sketch the graph of f(x) on the interval (-9, 9) if f(0)=0. Show the analysis that leads to your graph. (5 points) 5. Consider the graph of f'(x), the derivative of y = f(x), defined on the domain -9 < x < 9, as given in the graph. 10 W -10 -10- 10 a. For what values of x does f(x) have a relative minimum? Explain. (4 points) b. For what values of x does f(x) have a relative maximum? Explain. (4 points) C. Determine the open intervals where the graph of f(x) is concave downwards. Show the analysis that leads to your conclusion. (5 points) d. Sketch the graph of f(x) on the interval (-9, 9) if f(0)=0. Show the analysis that leads to your graph. (5 points)