The Extreme Value Theorem Worksheet with Answer Key

What's on the worksheet

1. Decide whether the extreme value theorem guarantees an absolute maximum and an absolute minimum on the interval given.
   \sqrt{16 - x^2} on [-4, 4]\dfrac{x}{x^2 - 4} on [-1, 3]x^3 - 5x on [1, \infty)\arctan x on (−2, 2)\dfrac{x - 3}{x^2 + 1} on [-5, 5]
2. Let $f
3. Let $f
4. Decide whether each statement is true or false.
5. −2 −1 1 2 3 4 1 2 4 x y y = f
6. A hydrology class pours a pulse of harmless dye into a stream and measures it at a bridge downstream.