For each function, determine the indicated value. Use a...

For each function, determine the indicated value. Use a calculator to approximate each irrational number to the nearest hundredth. If the expression is not a real number, so state.
$h(t)=\sqrt[3]{3 t^{2}+5 t-16}, h(1)$

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Key Concepts

Function Evaluation

Function evaluation is the process of determining the output of a function for a given input by substituting the input value into the expression. This concept is fundamental as it allows one to translate abstract functions into concrete numerical results and assess their behavior at specific points.

Cube Root Properties

Cube roots, denoted as the root of an expression raised to the power of 1/3, have the property of being defined for all real numbers, including negatives. This is in contrast to even-order roots such as square roots, and it permits the evaluation of values where the expression inside the cube root is negative.

Approximating Irrational Numbers

Approximating irrational numbers involves using calculators or numerical methods to express non-exact values to a desired degree of precision, such as to the nearest hundredth. This concept is crucial when dealing with expressions that yield irrational outputs, ensuring that results are presented in a consistent and readable format.

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