Input and Output Tables

Front

What is the input in an input-output table?

Back

The input is the value that is put into a function, often represented on the x-axis.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the output in an input-output table?

Back

The output is the value that results from applying the function to the input, often represented on the y-axis.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What does the equation y=4x+3 represent?

Back

It represents a linear function where the output (y) is determined by multiplying the input (x) by 4 and then adding 3.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

How do you find the output for an input of 2 in the equation y=4x+3?

Back

Substitute x with 2: y=4(2)+3 = 8+3 = 11.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the slope of the line represented by the equation y=4x+3?

Back

The slope is 4, indicating that for every 1 unit increase in x, y increases by 4 units.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of the equation y=4x+3?

Back

The y-intercept is 3, which is the value of y when x is 0.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you graph the point (3, 2)?

Back

Start at the origin (0,0), move right 3 units (x=3), then move up 2 units (y=2).

Tags

CCSS.5.G.A.2

Front

What does the term 'coordinate' mean in graphing?

Back

A coordinate is a pair of values (x, y) that represent a point on a graph.

Tags

CCSS.5.G.A.1

Front

What is the purpose of an input-output table?

Back

An input-output table helps to organize the relationship between inputs and their corresponding outputs.

Tags

CCSS.5.OA.B.3

Front

How do you determine if a table represents a linear function?

Back

If the differences between outputs for equal differences in inputs are constant, it represents a linear function.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2