Relations & Functions

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, typically representing a relationship between two sets of values.

Front

What is a function?

Back

A function is a special type of relation where each input (x-value) is associated with exactly one output (y-value).

Front

What is the x-intercept of a graph?

Back

The x-intercept is the point where the graph crosses the x-axis, meaning the value of y is 0.

Front

How do you find the x-intercepts of a function?

Back

To find the x-intercepts, set the function equal to zero and solve for x.

Front

What does it mean if a graph is not a function?

Back

A graph is not a function if any vertical line drawn intersects the graph at more than one point.

Front

What is an independent variable?

Back

An independent variable is a variable that represents the input or cause in a function, often denoted as x.

Front

What is a dependent variable?

Back

A dependent variable is a variable that represents the output or effect in a function, often denoted as y.

Front

Given f(x) = 2x + 3, find f(2).

Back

f(2) = 2(2) + 3 = 7.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function by checking if any vertical line intersects the curve more than once.

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.