📚 Part 1: Understanding Function Notation

1. What does the notation f(3) = 12 mean?

The function f equals 3 times 12

When the input is 3, the output is 12

The variable f is multiplied by 3

The function has 3 inputs and 12 outputs

2. If g(x) = 2x + 5, what is g(4)?

9

11

13

14

3. For the function h(t) = t² - 3, find h(-2).

-7

-1

1

7

4. Which of the following represent function notation? (Check all that apply)

f(x) = 3x - 1

y = 2x + 4

P(t) = 5t²

3x + y = 7

✏️ Part 2: Function Evaluation Practice

5. Given f(x) = 4x - 7, evaluate the following:

a) f(0) = _______

b) f(3) = _______

c) f(-1) = _______

6. For g(x) = x² + 2x - 1, find g(5). Show your work below.

7. A taxi company charges according to the function C(m) = 3 + 2m, where m is the number of miles traveled and C(m) is the total cost in dollars.

a) Find C(8): _______

b) What does C(8) represent in this context?

🎯 Part 3: Real-World Applications

8. The height of a ball thrown upward is given by h(t) = -16t² + 32t + 6, where t is time in seconds and h(t) is height in feet.

a) Find the height of the ball at t = 1 second: h(1) = _______

b) Find the height of the ball at t = 2 seconds: h(2) = _______

9. A phone plan costs $25 per month plus $0.10 per text message. Write this as a function T(x), where x is the number of text messages and T(x) is the total monthly cost.

Function: T(x) = _________________

Find T(150): _______

Explain what T(150) means in this context:

10. Explain in your own words what the notation f(4) = 9 tells you about the function f.

Function Notation and Evaluation

Function Notation and Evaluation

📚 Part 1: Understanding Function Notation

✏️ Part 2: Function Evaluation Practice

🎯 Part 3: Real-World Applications

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