Function Tables

Front

What is a function table?

Back

A function table is a table that displays the input values (x) and their corresponding output values (y) based on a specific function or rule.

Front

How do you find the output value in a function table?

Back

To find the output value, substitute the input value into the function rule and calculate the result.

Front

What does the equation y = 3x + 1 represent?

Back

It represents a linear function where the output (y) is determined by multiplying the input (x) by 3 and then adding 1.

Front

If y = 4x + 3, what is the output when x = 2?

Back

The output is y = 4(2) + 3 = 8 + 3 = 11.

Front

What is the rule for the function if the output is 8 times the input?

Back

The rule can be expressed as y = 8x, where y is the output and x is the input.

Front

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

Back

Rearrange the function rule to solve for the input value based on the given output.

Front

What is the output when the input is 0 in the function y = 3x + 1?

Back

The output is y = 3(0) + 1 = 0 + 1 = 1.

Front

What is the significance of the slope in a linear function?

Back

The slope indicates the rate of change of the output value with respect to the input value.

Front

How can you verify if a table corresponds to a given function?

Back

By checking if the output values in the table match the results obtained by substituting the input values into the function.

Front

What is the output for the function y = 5x when x = 2?

Back

The output is y = 5(2) = 10.