8th Math Mastery Check 5.1 ~ Functions Review

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every x-value, there is one and only one y-value.

Front

How can you determine if a table represents a function?

Back

A table represents a function if each input (x-value) is paired with exactly one output (y-value). No x-value should repeat with a different y-value.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line. It can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

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 for a relation to be a function?

Back

For a relation to be a function, each input must correspond to exactly one output. If an input has multiple outputs, it is not a function.

Front

How can you identify a linear function from a set of points?

Back

A linear function can be identified if the points form a straight line when plotted on a graph.

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, the relation is not a function.

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 as (x, y).

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 the function.

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.