Function Tables

Front

What is a function rule?

Back

A function rule is a mathematical expression that defines the relationship between input and output values in a function.

Front

How do you find the output of a function given an input?

Back

To find the output, substitute the input value into the function rule and simplify the expression.

Front

What is the output of the function rule 2x + 1 when the input is 2?

Back

5

Front

What is the output of the function rule x - 5 when the input is 14?

Back

9

Front

How do you determine the input if the output is known?

Back

To find the input, set the output equal to the function rule and solve for the input variable.

Front

What is the input for the function rule x ÷ 2 if the output is 3?

Back

6

Front

What is the output of the function rule x ÷ 3 when the input is 12?

Back

4

Front

What is the input for the function rule x + 8 if the output is 20?

Back

12

Front

What does it mean for a function to be linear?

Back

A linear function is a function that can be graphically represented as a straight line, typically in the form y = mx + b.

Front

What is the slope in the function rule 2x + 1?

Back

The slope is 2, which indicates the rate of change of the output with respect to the input.