Input/Output Tables

Front

What is an Input/Output table?

Back

An Input/Output table is a mathematical tool used to show the relationship between input values (x) and output values (y) based on a specific function or rule.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

How do you find the output value in an Input/Output table?

Back

To find the output value, substitute the input value into the function or equation that defines the relationship between input and output.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What does the equation y = mx + b represent?

Back

This equation represents a linear function where 'm' is the slope and 'b' is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the slope in a linear equation?

Back

The slope is a measure of how steep a line is, representing the rate of change of the output value with respect to the input value.

Tags

CCSS.8.EE.B.5

Front

How can you determine missing values in an Input/Output table?

Back

You can determine missing values by using the function or equation to solve for the unknown input or output.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the significance of the y-intercept in a linear function?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the output value when the input value is zero.

Front

What is the process for solving for a missing input value?

Back

To solve for a missing input value, rearrange the equation to isolate the input variable and substitute the known output value.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

How do you identify a correct Input/Output table for a given function?

Back

To identify a correct Input/Output table, check that the output values correspond accurately to the input values based on the function's rule.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is a function?

Back

A function is a relation that assigns exactly one output value for each input value.

Tags

CCSS.8.F.A.1

Front

What does it mean for a function to be linear?

Back

A function is linear if it can be graphically represented as a straight line, indicating a constant rate of change.

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CCSS.8.F.A.3