Review: Domain & Range of Linear Functions

Front

What is the domain of a function?

Back

The set of all x-values for which the function is defined.

Front

What is the range of a function?

Back

The set of all y-values that a function can output.

Front

Given the function f(x) = 30 + 12.5x, what is the domain if x represents the number of people?

Back

D: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}

Front

What does it mean for a function to be discrete?

Back

A discrete function has specific, separate values, often represented by whole numbers.

Front

What does it mean for a function to be continuous?

Back

A continuous function can take any value within a given range, without any gaps.

Front

For the profit function p = 12t - 240, what is the domain?

Back

D: {0, 1, 2, 3, ..., 40}

Front

For the profit function p = 12t - 240, what is the range?

Back

R: {-240, -228, -216, ..., 240}

Front

If Janice earns f(x) = 15x + 20, what is the appropriate domain for her working hours?

Back

D: any value between 0 and 5.

Front

What is the domain of the relation {-1, 0, 1, 3}?

Back

D: {-1, 0, 1, 3}.

Front

In the equation f(x) = mx + b, what do m and b represent?

Back

m is the slope, and b is the y-intercept.