Question 1

For the function $$y = f(x)$$ shown in the first image, at which $$x-$$values does $$f(x)$$ have a local maximum?

Accepted Answer

$$x = d$$ and $$x = g$$

Question 2

In the first image, at which $$x-$$values is the derivative $$f'(x)$$ equal to zero?

Accepted Answer

$$x = b, d, f, g$$

Question 3

For the function $$y = f(x) in $$the first image, which $$x-$$values are inflection points?

Accepted Answer

$$x = c, e, f$$

Question 4

In the first image, on which interval is $$f(x)$$ decreasing?

Accepted Answer

$$x in$$ $$(a, c)$$ and $$(d, f)$$

Question 5

For the function $$y = f(x) in $$the second image, at which $$x-$$values does $$f(x)$$ have a local minimum?

Accepted Answer

$$x = b, d, h$$

Question 6

In the second image, at which $$x-$$values is $$f(x)$$ concave up?

Accepted Answer

$$x in$$ $$(b, d)$$ and $$(g, i)$$

Question 7

For the function $$y = f(x) in $$the second image, which $$x-$$values are inflection points?

Accepted Answer

$$x = c, e, g$$

Question 8

In the first image, at which $$x-$$values does $$f(x)$$ have a sharp corner (cusp)?

Accepted Answer

$$x = c$$

Question 9

In the first image, which $$x-$$values are critical points of $$f(x)$$?

Accepted Answer

$$x = b, d, f, g, c$$

Question 10

For the function $$y = f(x) in $$the second image, at which $$x-$$values does $$f(x)$$ have a local maximum?

Accepted Answer

$$x = f$$

Business Calculus Study Guide: Marginal Analysis, Derivatives, and Graphs

Study Guide - Practice Questions