Domain, Range & Slope

Front

What is the definition of Domain in a function?

Back

The set of all possible input values (x-values) for a function.

Front

What is the definition of Range in a function?

Back

The set of all possible output values (y-values) for a function.

Front

How do you calculate the slope of a line?

Back

Slope (m) = (y2 - y1) / (x2 - x1) where (x1, y1) and (x2, y2) are two points on the line.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases.

Front

What is the slope of the line that passes through the points (10, 1) and (5, 2)?

Back

-1/5

Front

What is the slope of the line that passes through the points (2, 7) and (5, 8)?

Back

1/3

Front

What is the slope of a vertical line?

Back

Vertical lines have an undefined slope.

Front

What is the slope of a horizontal line?

Back

Horizontal lines have a slope of 0.

Front

If a function has a range of 1 ≤ y ≤ 5, what does this mean?

Back

The output values (y-values) of the function can be any number from 1 to 5, inclusive.