Introduction to Function Notation
Explore the basics of function notation, evaluating functions, and understanding input-output relationships for 6th graders.
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Introduction to Function Notation
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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)?
3
5
8
15
5. What does the notation g(x) = 2x mean?
g plus x equals 2x
g multiplied by x equals 2x
The function g of x equals 2 times x
The function 2x
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.
True
False
9. The notation f(x) means 'f multiplied by x'.
True
False
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) = ...).