Evaluating Functions Review

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

Evaluate f(1) if f(x) = 2x.

Back

f(1) = 2(1) = 2.

Front

What does it mean to evaluate a function?

Back

To evaluate a function means to find the output value for a given input by substituting the input into the function's equation.

Front

Evaluate f(x) = 4x + 5 for f(4).

Back

f(4) = 4(4) + 5 = 16 + 5 = 21.

Front

What is the output of f(x) = -x + 3 when f(x) = 7?

Back

To find x, set -x + 3 = 7. Solving gives x = -4.

Front

Evaluate f(x) = x^2 for f(-8).

Back

f(-8) = (-8)^2 = 64.

Front

How do you solve for x in the equation y = 4x - 1 when y = 19?

Back

Set 4x - 1 = 19. Solving gives x = 5.

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.

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, typically in the form f(x) = mx + b.