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Function Notation Introduction
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Function Notation Introduction
A function rule changes an input into an output. In f(3), the number 3 is the input to the function named f. Show working where asked.
Reading function rules
Use each rule to identify what happens to its input.
1.For the rule f(x) = x + 7, what does the function do to its input?
- Adds 7
- Multiplies by 7
- Subtracts 7
- Divides by 7
2.If p(x) = 3x - 4, what is p(5)?
- 11
- 15
- 7
- 19
3.Which situations can be modelled as functions, where each allowed input has exactly one output? Select all that apply.
- The total price of apples when the number of kilograms bought is known and the price per kilogram is fixed
- The month of birth associated with a person's name
- Converting a temperature in degrees Celsius to degrees Fahrenheit
- A person's favourite sport based only on their age
Evaluating functions
Substitute each input into the rule. Remember that x² means x multiplied by x.
Input x
Output f(x)
0
2
4
6
4.For g(x) = x² + 2, calculate g(4). Show how you substituted the input and worked out the result.
5.A bike hire shop charges a fixed $6 fee plus $4 for each hour hired. Write a function rule C(h) for the cost in dollars after h hours, then find C(3).
6.In your own words, explain what f(2) means when f(x) = 5x - 1. Include the value of f(2) in your explanation.
2 printable pages
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