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

If the output is four times the input, what is the function rule?

Back

f(x) = 4x

Front

How do you represent a function that doubles the input?

Back

f(n) = 2n

Front

What is the function rule for a bottle rocket launched from an 80 meter tall building traveling up at 22 m/s?

Back

f(x) = 80 + 22x

Front

What is the function rule for a table where the output is five times the input plus one?

Back

f(x) = 5x + 1

Front

If a function rule is f(x) = 2x + 3, what is the output when x = 2?

Back

f(2) = 2(2) + 3 = 7

Front

What does the notation f(x) represent?

Back

f(x) represents the output of the function f for a given input x.

Front

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

Back

Substitute the input value into the function rule and simplify.

Front

What is the function rule for a linear function with a slope of 3 and a y-intercept of 2?

Back

f(x) = 3x + 2

Front

If f(x) = x - 4, what is f(5)?

Back

f(5) = 5 - 4 = 1