Evaluating Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input from a set of inputs.

Front

Evaluate y = 2x + 3 when x = 4.

Back

y = 2(4) + 3 = 8 + 3 = 11.

Front

What does it mean to evaluate a function?

Back

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

Front

Evaluate y = x^2 when x = 5.

Back

y = 5^2 = 25.

Front

What is the domain of a function?

Back

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

Front

Evaluate y = 3x - 1 when x = 2.

Back

y = 3(2) - 1 = 6 - 1 = 5.

Front

What is the range of a function?

Back

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

Front

Evaluate y = 4x + 2 when x = -1.

Back

y = 4(-1) + 2 = -4 + 2 = -2.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, typically in the form y = mx + b.

Front

Evaluate y = -2x + 6 when x = 3.

Back

y = -2(3) + 6 = -6 + 6 = 0.