Function Rules

Front

What is a function rule?

Back

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

Front

Write a function rule for the relationship: The number of multiple-choice questions is ten times the number of open-ended questions.

Back

f(x) = 10x

Front

What does the vertical line test determine?

Back

The vertical line test determines if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

Write a function rule for the output that is four times the input.

Back

f(x) = 4x

Front

What is the output of the function f(n) = 2n when n = 3?

Back

The output is 6.

Front

Identify the function rule for the function table where the output doubles the input.

Back

f(n) = 2n

Front

What is the function rule for a linear function with a slope of -2 and a y-intercept of 10?

Back

f(x) = -2x + 10

Front

If f(x) = 2x - 10, what is f(5)?

Back

f(5) = 0.

Front

What is the general form of a linear function?

Back

A linear function can be expressed as f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

Write a function rule for the relationship: The output is the input decreased by 2.

Back

f(n) = n - 2