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.

Tags

CCSS.8.F.A.1

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).

Tags

CCSS.8.F.A.1

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.

Tags

CCSS.8.F.A.1

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.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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.