Exercises: Understand Function Definition

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Grade 9·20 problems·~30 min·Common Core Math - HS Functions·group·hsf-if-a-1

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Recall / Warm-Up

These problems review skills from Grade 8.

Which statement best describes what a function does?

It assigns each input exactly one output.

It assigns each output exactly one input.

It pairs inputs and outputs so that every output is used.

It creates a formula relating two variables.

A table shows these ordered pairs: (1, 4), (2, 7), (3, 4), (4, 9). Does this table represent a function?

Yes, because each input has exactly one output.

No, because the output 4 appears twice.

No, because the inputs are not consecutive even numbers.

Yes, but only if a formula can be written for it.

A function is defined by the set of ordered pairs {(0, 1), (1, 3), (2, 5), (3, 7)}. What is the range of this function?

{0, 1, 2, 3}

{1, 3, 5, 7}

All real numbers

{0, 1, 2, 3, 5, 7}

Evaluate each function at the given input.

Let $f(x) = 2x + 5$ . Find $f(3)$ .

Let $g(x) = x^2 - 4$ . Find $g(5)$ .

Let $h(t) = 3t - 7$ . Find $h(-2)$ .

Let $f(x) = x^2 + 2x$ . Find $f(-3)$ .

Let $p(n) = \frac{n+1}{2}$ . Find $p(7)$ .

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