Module 13 - Extreme Values of Functions
 
  Introduction | Lesson 1 | Lesson 2 | Lesson 3 | Lesson 4 | Self-Test
 
 Self Test
 

  1. Find the x-coordinates of the critical point and endpoints of the function f(x) = 4 - x2/5 within the restricted domain [-1, 2].
  2. Find the extreme points of f(x) = 4 - x2/5 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.

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