Introduction to Function Notation

Introduction to Function Notation

Read each question carefully and follow the instructions. Show your work when necessary.

A function is like a machine that takes an input, does something to it, and gives you an output. For example, if you put a number into a 'double it' machine, it gives you twice that number.

1. In a function, the number you put in is called the  .

2. The result that comes out of a function is called the  .

3. Function notation often uses letters like f(x), where 'x' is the  .

4. If a function is defined as f(x) = x + 5, what is f(3)?

5. What does the notation g(x) = 2x mean?

6. Given the function h(x) = x - 7, find h(10).

7. If a function k(x) = 4x, what is the output when the input is 2?

8. In the function f(x) = x + 3, if the input is 4, the output is 7.

9. The notation f(x) means 'f multiplied by x'.

10. Write a function rule in function notation for 'add 6 to the input'.

11. If a function takes an input, multiplies it by 3, and then subtracts 1, write this function using function notation (e.g., f(x) = ...).