Question 1

Given the graph above, on which interval(s) is the function increasing?

Accepted Answer

$x < 1$ and $x > 4$

Question 2

On which interval(s) is the function decreasing according to the graph?

Accepted Answer

$1 < x < 4$

Question 3

At what value of $x$ does the function have a relative maximum?

Accepted Answer

$x = 1$

Question 4

At what value of $x$ does the function have a relative minimum?

Accepted Answer

$x = 4$

Question 5

On what interval is the function concave up?

Accepted Answer

$x > 2.5$

Question 6

On what interval is the function concave down?

Accepted Answer

$x < 2.5$

Question 7

What is the $x$ value of the function’s inflection point?

Accepted Answer

$x = 2.5$

Question 8

Which of the following best describes the behavior of the function at $x = 1$?

Accepted Answer

Relative maximum

Question 9

Which of the following best describes the behavior of the function at $x = 4$?

Accepted Answer

Relative minimum

Question 10

Does the function shown in the graph have an absolute maximum or minimum?

Accepted Answer

No absolute maximum or minimum

Business Calculus Exam 1 Study Guide: Derivatives, Rates of Change, and Curve Analysis

Study Guide - Practice Questions