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Function Notation Introduction

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Function Notation Introduction

Function machine with input and output arrows

🎯 WALT (We Are Learning To)

Today we are learning to:

• Understand what function notation f(x) means

• Evaluate simple functions by substituting values

• Create tables of values from function rules

• Connect function notation to real-life input-output relationships

🤖 Part 1: Function Machine Understanding

1. Think of a function as a machine that takes an input and gives an output. Which of these is the best description of f(x) = x + 5?

A machine that adds 5 to any number you put in

A machine that multiplies any number by 5

A machine that subtracts 5 from any number

A machine that divides any number by 5

2. If f(x) = 2x + 3, what does f(4) equal?

9

11

8

7

3. Which of these real-life situations could be represented by a function? (Select all that apply)

The cost of petrol based on litres purchased

Your age based on the year

The temperature in Celsius converted to Fahrenheit

Your favourite colour

📊 Part 2: Evaluating Functions

4. Given f(x) = 3x - 2, complete this table of values:
xf(x)
1_____
2_____
5_____
0_____
5. If g(x) = x² + 1, find g(3). Show your working:
6. Create your own function and evaluate it for x = 2:

My function: h(x) = _________________

h(2) = _________________

7. Explain in your own words what function notation means. Use an example to help your explanation:

✅ Success Criteria Check

Tick the box when you can do each of these:

I can explain what function notation represents

I can evaluate functions by substituting values for x

I can create a table of values from a function rule

I can connect functions to real-life input-output relationships

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