Graphing Functions

Front

What is the definition of a coordinate point?

Back

A coordinate point is a pair of numbers (x, y) that define a specific location on a Cartesian plane.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

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 output value of a function?

Back

To find the output value, substitute the input value (x) into the function's equation and solve for y.

Front

What is the slope of a line?

Back

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

Front

What does it mean if a slope is undefined?

Back

An undefined slope occurs when a line is vertical, meaning there is no change in x while y changes.

Front

What is a linear function?

Back

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

Front

What is the y-intercept of a function?

Back

The y-intercept is the point where the graph of a function crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

How do you identify the x-intercept of a function?

Back

The x-intercept is found by setting y = 0 in the function's equation and solving for x.

Front

What is a function?

Back

A function is a relation that assigns exactly one output value for each input value.