Function Tables and Rules

Front

What is a function table?

Back

A function table is a chart that shows how each input (x-value) is related to an output (y-value) through a specific rule or equation.

Front

What does 'two times a number minus two' look like in equation form?

Back

The equation is y = 2x - 2.

Front

How do you identify a function from a table?

Back

A function can be identified if each input corresponds to exactly one output.

Front

What is the rule for the function table if the output is '5 times a number plus 2'?

Back

The rule is y = 5x + 2.

Front

What is the difference between a function and a non-function?

Back

A function has one output for each input, while a non-function may have multiple outputs for a single input.

Front

How can you represent '3 times a number plus 3' in a function table?

Back

You can represent it as y = 3x + 3.

Front

What does the slope represent in a linear function?

Back

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

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept is the value of y when x is 0, represented by b in the equation.

Front

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

Back

Substitute the input value into the function's equation to calculate the output.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b.