Unit 3 Test - Relations & Functions

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an input (x-value) and an output (y-value).

Front

What is a function?

Back

A function is a special type of relation where each input is associated with exactly one output.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for a function.

Front

How do you find the x-intercept of a line?

Back

To find the x-intercept, set y = 0 in the equation of the line and solve for x.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, typically in the form f(x) = mx + b.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, found by setting x = 0 in the equation.

Front

What is a dependent variable?

Back

A dependent variable is the output of a function, which depends on the input value.

Front

What is an independent variable?

Back

An independent variable is the input of a function, which can be freely chosen.