Relations and 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

How do you determine if a relation is a function?

Back

A relation is a function if no x-value is repeated in the ordered pairs.

Front

What is the x-intercept of a graph?

Back

The x-intercept is the point where the graph intersects the x-axis, meaning the y-value is zero.

Front

How do you find the x-intercept of the equation x - 2y = 4?

Back

Set y = 0 and solve for x: x - 2(0) = 4, so x = 4. The x-intercept is (4, 0).

Front

What is the y-intercept of a graph?

Back

The y-intercept is the point where the graph intersects the y-axis, meaning the x-value is zero.

Front

How do you find the y-intercept of the equation x - 2y = 4?

Back

Set x = 0 and solve for y: 0 - 2y = 4, so y = -2. The y-intercept is (0, -2).

Front

What is a mapping diagram?

Back

A mapping diagram visually represents a relation by showing how each element from one set is paired with elements from another set.

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 a one-to-one function?

Back

A one-to-one function is a function where each output is paired with exactly one input, meaning no two different inputs produce the same output.