# Worksheet: Piecewise Functions

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

Q1:

Determine . Q2:

In the following graph, what is ? Q3:

Determine using the graph below. Q4:

Determine . Q5:

Find the missing table values for

 𝑥 𝑔(𝑥) −3 0 3
• A
• B
• C
• D

Q6:

Consider the function Find .

Q7:

Given that the function find the value of .

Q8:

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

Q9:

Complete the table with the missing values of given

 𝑥 𝑓(𝑥) −8 −7 −5 −2 −1
• A
• B
• C
• D

Q10:

Determine . • A1
• B5
• Cundefined

Q11:

Determine . • A0
• B2
• Cundefined
• D

Q12:

Determine . Q13:

From the following graph, determine . • A
• B0
• C
• Dundefined

Q14:

Find . • A
• B
• Cundefined.
• D5

Q15:

Given that the velocity of a motorcycle is expressed by the function where is the time in seconds, and is the velocity in m/s, determine .

Q16:

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