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Function Notation Practice Worksheet

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Function Notation Practice Worksheet

Function notation symbols and equations

📚 Part 1: Understanding Function Notation

What is Function Notation?

Function notation is a way to write mathematical rules. When we write f(x) = x + 3, it means "function f takes an input x and adds 3 to it."

Example: If f(x) = x + 3, then f(2) = 2 + 3 = 5

1. Look at the function g(x) = x × 2. What does g(4) equal?

6

8

10

12

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

15

5

50

2

3. Which of these are examples of function notation? (Check all that apply)

f(x) = x + 7

y = 3x

g(x) = 2x - 1

5 + 4 = 9

✏️ Part 2: Evaluating Functions

4. If f(x) = x + 8, find f(3).

f(3) = _____ + 8 = _____

5. If m(x) = 3x, find m(6).

m(6) = 3 × _____ = _____

6. Complete the table for the function k(x) = x - 4:

k(5) = _____

k(9) = _____

k(12) = _____

7. Write the function notation for this rule: "Take a number and multiply it by 4"

f(x) = _____________

8. Sarah has a function that adds 6 to any number. Write this as function notation.

🎯 Part 3: Problem Solving

9. A movie theater charges $8 per ticket. Write a function c(x) that shows the cost for x tickets.

c(x) = _____________

10. Using your function from question 9, how much would 5 tickets cost?

c(5) = _____________

11. Explain in your own words what f(7) = 15 means if f(x) represents "the number of stickers Sarah has after buying x packs."

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