Functions, Tables, Graphs

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 only one corresponding y-value.

Tags

CCSS.8.F.A.1

Front

How can you tell if a table represents a function?

Back

A table represents a function if each input (x-value) is paired with exactly one output (y-value). If any x-value is repeated with different y-values, it is not a function.

Tags

CCSS.8.F.A.1

Front

What does the notation y = -2x + 1 represent?

Back

This is a linear function where y is dependent on x. The slope is -2, and the y-intercept is 1.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

Complete the function table for y = -2x + 1 when x = 2.

Back

y = -2(2) + 1 = -4 + 1 = -3.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the output of the function y = -2x + 1 when x = 0?

Back

y = -2(0) + 1 = 0 + 1 = 1.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

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

Back

(6,-5) (7,-3) (8,-1) (9,1) is a function because each x-value is unique.

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

Is the following mapping a function? (1,2), (1,3), (2,4)

Back

No, this mapping is not a function because the input 1 is paired with two different outputs (2 and 3).

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

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

Back

A relation is not a function if at least one input is associated with more than one output.

Tags

CCSS.8.F.A.1