# Lesson Worksheet: Piecewise Functions Mathematics

In this worksheet, we will practice identifying, writing, and evaluating a piecewise function.

**Q4: **

Determine .

**Q6: **

Given that the function represents the price of electrical appliances in LE, where is the number of appliances, find .

**Q8: **

Determine .

- A0
- B2
- Cundefined
- D

**Q10: **

From the following graph, determine .

- A
- B0
- C
- Dundefined

**Q11: **

Find .

- A
- B
- Cundefined.
- D5

**Q13: **

Consider the function

What are the values of and ?

- A,
- B,
- C,
- D,
- E,

What are the values of and ?

- A,
- B, is undefined
- C,
- Dboth and are undefined
- E,

What are the values of and ?

- A, is undefined
- B is undefined,
- Cboth and are undefined
- D,
- E,

What is the domain of the function ?

- A
- B
- C
- D
- E

**Q16: **

Complete the table with the missing values of given

- A, , , 2,
- B, 3, 1, 2,
- C3, 3, 1, ,
- D3, , , , 2

**Q17: **

The function models the sales, in dollars, of a product in a store after years of business.

Determine the sales after 2 years of business.

If the sales in a specific year were $4,060, what were the sales 2 years before?

**Q18: **

The salary of an employee is $1,500 per month. He works between 140 and 150 hours inclusive, and he gets $16 for every extra hour he works past the 150 hours.

Let be the number of hours he works per month and be the total salary he gains per month.

Which of the following is the piecewise representation of ?

- A
- B
- C
- D
- E

Find the total salary of two months if the employee worked an extra 3 hours in the first month and an extra 2 hours in the second month.

**Q19: **

Find the value of such that and .

**Q20: **

A company specialized in manufacturing clothes uses the function to determine the cost, , in dollars, of the number of units, , of used fabric.

Find the cost of using 6 units of fabric.

Find the maximum number of units needed to ensure that the cost will not exceed $34,000.

**Q21: **

Does the graph of the function

include the point ?

- ANo
- BYes

**Q22: **

Consider the function

Find the value of .

Find the value of .

Find the value of .

**Q24: **

Given that find the value of , where , , and .