Evaluating Functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What does it mean to evaluate a function?

Back

To evaluate a function means to calculate the output of the function for a given input value.

Front

What is the notation for a function?

Back

Functions are typically denoted by letters such as f, g, or h, followed by the input in parentheses, e.g., f(x).

Front

How do you find g(-5) if g(x) = 5 - 6x?

Back

Substitute -5 for x: g(-5) = 5 - 6(-5) = 5 + 30 = 35.

Front

Evaluate f(t) = -2t² + 1 for f(2).

Back

f(2) = -2(2)² + 1 = -2(4) + 1 = -8 + 1 = -7.

Front

Evaluate f(t) = -2t² + 1 for f(-3).

Back

f(-3) = -2(-3)² + 1 = -2(9) + 1 = -18 + 1 = -17.

Front

How do you solve for x in the equation f(x) = -x + 3 when f(x) = 7?

Back

Set -x + 3 = 7, then solve: -x = 7 - 3, -x = 4, x = -4.

Front

Evaluate f(x) = x² for f(-8).

Back

f(-8) = (-8)² = 64.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.