Domain and Range

Front

What is the definition of Domain in mathematics?

Back

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

Front

What is the definition of Range in mathematics?

Back

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

Front

How do you determine if a relation is a function?

Back

A relation is a function if each input (x-value) has exactly one output (y-value).

Front

What is the slope of a line?

Back

The slope is a measure of the steepness of a line, calculated as the change in y divided by the change in x (rise/run).

Front

What does a negative slope indicate about a line?

Back

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

Front

What is a y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis, represented as (0, y).

Front

How can you find the y-intercept from an equation?

Back

Set x = 0 in the equation and solve for y.

Front

What does it mean for a table to represent a function?

Back

Each x-value in the table must correspond to exactly one y-value.

Front

What is the significance of the coordinates (0, 0) in a graph?

Back

(0, 0) is the origin, where the x-axis and y-axis intersect.

Front

How do you identify the slope from a graph?

Back

Choose two points on the line, calculate the rise (change in y) and run (change in x), then divide rise by run.