TI-84 Plus Graphing Calculator Calculus Lesson
Module 13: Extreme Values of Functions

Self-Test

1. Find the x-coordinates of the critical point and endpoints of the function f(x) = 4 - x^2/5 within the restricted domain [-1, 2].

 

2. Find the extreme points of f(x) = 4 - x^2/5 within the restricted domain [-1,2].

 

3. The following graph shows the first derivative of a function g along with its zero in a [-4.7, 4.7, 1] x [-3.1, 3.1, 1] window. What does the graph tell you about the extreme points of g on the interval (-1,2)?

 



 

 

4. The following graph shows the second derivative of a function h in a [-4.7,4.7,1] x [-3.1,3.1,1] window. If h'(1) = 0, what can you conclude about h at the point x = 1?

 



 

 

5. Use the Minimum feature in the CALCULATE menu to approximate the local minimum of y = x³ - 2x sin x.

Click here to check your answers.