Question

For 9–10, use a graphing calculator to graph the function. Then use the graph to determine the number of turning points and the number and type (global or local) of any maximum or minimum values.

9. f(x)=x(x+2)(x+1)

10. f(x)=(x-1)3 (power to)(x+1)

Answer 1

Please, see the attached graphs

Explanation:

9. f(x)=x(x+2)(x+1)

It has a local maximum of 0.385 at x = - 1.577

It has a local minimum of - 0.385 at x = - 0.423

It has an inflection point at x = - 1

10. f(x)=(x-1)^3 (x+1)

It has a global minimum of - 1.688 at x = - 0.5

It has two inflection points at x=0 and at x=1