Function or Not?

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.

Tags

CCSS.8.F.A.1

Front

What is the vertical line test?

Back

The vertical line test is a method used to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, then the graph is not a function.

Front

What does it mean for a relation to be 'not a function'?

Back

A relation is 'not a function' if at least one input (x-value) is associated with more than one output (y-value).

Tags

CCSS.8.F.A.1

Front

Give an example of a function using ordered pairs.

Back

(2, 3), (3, 5), (4, 7) is a function because each x-value is paired with exactly one y-value.

Tags

CCSS.8.F.A.1

Front

Give an example of a relation that is not a function using ordered pairs.

Back

(1, 2), (1, 3), (2, 4) is not a function because the x-value 1 is paired with two different y-values (2 and 3).

Tags

CCSS.8.F.A.1

Front

What is a mapping diagram?

Back

A mapping diagram visually represents a function by showing how each input is paired with an output.

Front

What is the definition of a domain in a function?

Back

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

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the definition of a range in a function?

Back

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

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What does it mean for a function to be one-to-one?

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.

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 y = mx + b.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2