Question

Select all of the following functions for which the extreme value theorem guarantees the existence of an absolute maximum and minimum. Select all that apply: $f(x) = x^{3/2}$ over $[-1, 1]$ $g(x) = frac{1}{x^3}$ over $(1, 4)$ $h(x) = sqrt{3 - x}$ over $(1, 3)$ $k(x) = frac{2x}{sqrt{3 - x}}$ over $[1, 3]$ None of the above.

          Select all of the following functions for which the extreme value theorem guarantees the existence of an absolute maximum and minimum.
Select all that apply:
$f(x) = x^{3/2}$ over $[-1, 1]$
$g(x) = frac{1}{x^3}$ over $(1, 4)$
$h(x) = sqrt{3 - x}$ over $(1, 3)$
$k(x) = frac{2x}{sqrt{3 - x}}$ over $[1, 3]$
None of the above.

$Select all of the following functions for which the extreme value theorem guarantees the existence of an absolute maximum and minimum. Select all that apply: f(x) = x^3/2 over [-1, 1] g(x) = frac1x^3 over (1, 4) h(x) = sqrt3 - x over (1, 3) k(x) = frac2xsqrt3 - x over [1, 3] None of the above.$

Added by Lourdes R.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Andrew Noble

11/08/2022

Step 1

Therefore, by the extreme value theorem, it is guaranteed to have an absolute maximum and minimum on this interval. ** Show more…

Show all steps

Thanks for your feedback!

Select all of the following functions for which the extreme value theorem guarantees the existence of an absolute maximum and minimum. Select all that apply: f(x) = x^3/2 over [-1, 1] g(x) = 1/x^3 over (1, 4) h(x) = sqrt(3 - x) over (1, 3) k(x) = 2x/sqrt(3 - x) over [1, 3] None of the above.