8th Grade Functions

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 slope of a linear function?

Back

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

Front

What does it mean for a set of values to be a function?

Back

A set of values is a function if no two different ordered pairs have the same first element (x-value).

Front

What is the vertical line test?

Back

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

Front

How do you write the equation of a linear function?

Back

The equation of a linear function can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the y-intercept in a linear function?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

What is the rate of change in a function?

Back

The rate of change in a function describes how much the output value (y) changes for a change in the input value (x).

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to represent a point in a coordinate system, written in the form (x, y).

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

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

Back

Two functions have the same rate of change if they have the same slope, meaning they increase or decrease at the same rate.