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

Q1:

Determine 𝑓(0).

Q2:

Determine 𝑓(0) using the graph below.

Q3:

Given that the function 𝑓(𝑥)=6𝑥−2𝑥<−6,−9𝑥−1−6≤𝑥≤8,−5𝑥+4𝑥>8,ififif find the value of 𝑓(4).

Q4:

Given that the velocity of a motorcycle is expressed by the function 𝑣(𝑡)=5𝑡,0≤𝑡≤12,60,12<𝑡<70,−𝑡+130,70≤𝑡≤130, where 𝑡 is the time in seconds, and 𝑣 is the velocity in m/s, determine 𝑣(82).

Q5:

Given the function 𝑓(𝑥)=3𝑥−1,−1≤𝑥<10,2𝑥+11,𝑥≥10, find the value of 𝑎 such that 𝑓(𝑎)=2.

Q6:

Determine 𝑓(1).

Q7:

Determine 𝑓(−2).

Q8:

Find the missing table values for 𝑔(𝑥)=2𝑥<−2,3−2≤𝑥<3,2𝑥≥3.ififif

Q9:

The function 𝑓(𝑥) can be represented by the graph shown.

Which of the following is the piecewise representation of 𝑓(𝑥)?

Find the value of 𝑓(3).

Q10:

Consider the function 𝑓(𝑥)=𝑥+4𝑥>4,2𝑥−1≤𝑥≤4,−3𝑥<−1.ififif Find 𝑓[𝑓(2)].

This lesson includes 24 additional questions and 248 additional question variations for subscribers.

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