8th Grade Math Functions 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

How can you determine if a set of ordered pairs is a function?

Back

A set of ordered pairs is a function if no two different pairs have the same first element.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the initial value in the equation y = mx + b?

Back

The initial value is the y-intercept, represented by b, which is the value of y when x = 0.

Front

What does the slope of a line represent in a function?

Back

The slope represents the rate of change of the function, indicating how much y changes for a unit change in x.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has exactly one output, while a relation can have multiple outputs for a single input.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b.

Front

What does it mean for two functions to have the same rate of change?

Back

It means that for equal changes in x, the changes in y are the same for both functions, indicating parallel lines.

Front

What is the domain of a function?

Back

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