Slope, Domain and Range

Front

What is slope?

Back

Slope is a measure of the steepness or incline of a line, calculated as the change in y (vertical) over the change in x (horizontal).

Front

What are the types of slope?

Back

There are four types of slope: Positive (rises from left to right), Negative (falls from left to right), Zero (horizontal line), and Undefined (vertical line).

Front

What does the domain of a function represent?

Back

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

Front

What does the range of a function represent?

Back

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

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If a line rises from left to right, what type of slope does it have?

Back

It has a positive slope.

Front

If a line falls from left to right, what type of slope does it have?

Back

It has a negative slope.

Front

What is the domain of the relation {(-6,14), (0,32), (2,38), (4,44)}?

Back

The domain is {-6, 0, 2, 4}.