4.1.3 Writing Function Rules − Worksheet
Example 1:
Determine a relationship between the x - and y -values. Write an equation.
1.
2. {(1, 4), (2, 7), (3, 10), (4, 13)}
x y
1 2 3 4 − 1 0 1 2
Example 2:
Evaluate each function for the given input values.
3. For f ( x ) = 7 x + 2, find f ( x ) when x = 0 and when x = 1.
4. For g ( x ) = 4 x − 9, find g ( x ) when x = 3 and when x = 5.
1 3 t − 10, find h ( t ) when t = 27 and when t = − 15.
5. For h ( t ) =
Example 3:
Identify the independent and dependent variables in each situation. 6. A small-size bottle of water cost $1.99 and a large-size bottle of water cost $3.49.
7. An employee receives 2 vacation days for every month worked.
Identify the independent and dependent variables. Write a rule in function notation for each situation.
8. An air-conditioning technician charges customers $75 per hour.
9. An ice rink charges $3.50 for skates and $1.25 per hour.
10. A construction company uses beams that are 2, 3, or 4 meters long. The measure of each beam must be converted to centimeters. Write a function rule to describe the situation. Find a reasonable domain and range for the function. ( Hint : 1 m = 100 cm)
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