Is it a Function?

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Tags

CCSS.8.F.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

Is the relation {(1,5),(1,7),(3,9),(4,11)} a function?

Back

No, because the input '1' has two different outputs (5 and 7).

Tags

CCSS.8.F.A.1

Front

Which of the following sets of values is a function? (9,5) (10,5) (9,-5) (10,-5), (3,4) (4,-3) (7,4) (3, 8), (6,-5) (7, -3) (8, -1) (9, 1), (2, -2) (5, 9) (5, -7) (1, 4)

Back

(6,-5) (7, -3) (8, -1) (9, 1) is a function because all x-values are unique.

Tags

CCSS.8.F.A.1

Front

What does it mean if a relation is 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

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.

Tags

CCSS.8.F.A.1

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where each x-value corresponds to exactly one y-value.

Tags

CCSS.8.F.A.1

Front

What is an example of a relation that is not a function?

Back

An example is the relation {(1,2), (1,3)}, where the input '1' has two outputs.

Tags

CCSS.8.F.A.1

Front

What is the definition of a mapping in mathematics?

Back

A mapping is a relation that assigns each element from one set to an element in another set.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has exactly one output, while a relation can have multiple outputs for a single input.

Tags

CCSS.8.F.A.1