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# Find the absolute maximum and absolute minimum values of $f$ on the given interval.$f(t) = t - \sqrt{x}$, $[-1, 4]$

## Absolute minimum value $\left( \frac{1}{3} \right)^{\frac{3}{2}} - \left( \frac{1}{3} \right)^{\frac{1}{2}}\approx -0.3849$ which occurs at $t=\left( \frac{1}{3} \right)^{\frac{3}{2}} \approx 0.19245$ ; Absolute maximum value $4- \left( 4 \right)^{\frac{1}{3}} \approx 2.412598948$ which occurs at $t=4$

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##### Catherine R.

Missouri State University

##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Michael J.

Idaho State University

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##### Catherine R.

Missouri State University

##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Michael J.

Idaho State University

Lectures

Join Bootcamp