Function Review

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the dependent variable (y) with respect to the independent variable (x).

Front

What is the y-intercept of a function?

Back

The y-intercept is the point where the graph of the function intersects the y-axis, represented by the value of y when x = 0.

Front

How can you determine if a relation is a function using the vertical line test?

Back

A relation is a function if no vertical line intersects the graph at more than one point.

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

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 does it mean for a table to represent a function?

Back

A table represents a function if each input value corresponds to exactly one output value.

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, characterized by a constant rate of change.

Front

What is the difference between a function and a non-function?

Back

A function has a unique output for each input, while a non-function may have multiple outputs for a single input.