Function Rules

Front

What is a function rule?

Back

A function rule is a mathematical expression that describes the relationship between input (x) and output (f(x)). It defines how to calculate the output based on the input.

Front

If f(x) = 2x + 3, what is f(2)?

Back

f(2) = 2(2) + 3 = 4 + 3 = 7.

Front

Write the function rule for a situation where the output is three times the input.

Back

f(x) = 3x.

Front

What does the notation f(n) represent?

Back

f(n) represents the output of the function f when the input is n.

Front

If Patrick earns $20 for each lawn mowed, what is the function rule for his earnings?

Back

f(n) = 20n, where n is the number of lawns mowed.

Front

What is the output of the function f(x) = 5x + 1 when x = 3?

Back

f(3) = 5(3) + 1 = 15 + 1 = 16.

Front

Identify the function rule: The output is four times the input.

Back

f(x) = 4x.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has exactly one output.

Front

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

Back

f(5) = 2(5) = 10.

Front

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

Back

f(x) = 2x + 3.