5. Analytical Applications of Differentiation

Using The Candidates Test To Determine Absolute (global) Extrema — Quiz

Test your understanding of using the candidates test to determine absolute (global) extrema with 5 practice questions.

Practice Questions

Question 1

What is the main purpose of the Candidates Test when finding absolute extrema on a closed interval?

Question 2

A function is continuous on the closed interval $[a,b]$. Which set of points should be examined in the Candidates Test?

Question 3

For the function $f(x)=x^2-4x+1$ on the interval $[0,5]$, what is the absolute minimum value?

Question 4

For the function $f(x)=x^2-4x+1$ on the interval $[0,5]$, what is the absolute maximum value?

Question 5

Why can a point where $f'(x)$ does not exist still be a candidate for an absolute extremum?