In this worksheet, we will practice identifying, writing, and evaluating a linear function and completing its function table.

Q1:

Find −18𝑓(−2)16𝑓(−10) given 𝑓(𝑥)=8.

Q2:

Evaluate 𝑓(2), given that 𝑓(𝑥)=3𝑥+7.

Q3:

Fill in the input-output table for the function 𝑓(𝑥)=5𝑥+3.

Q4:

Find the value of 𝑘 given 𝑓(𝑥)=𝑘𝑥+13 and 𝑓(8)=−11.

Q5:

If (−10,−5) belongs to the set of the function 𝑓, where 𝑓(𝑥)=𝑚𝑥+15, find the value of 𝑚.

Q6:

Given that (−7,−3) satisfies the relation 𝑓(𝑥)=−3+3𝑥𝑏, find the value of 𝑏.

Q7:

Which of the following relations does the point (−5,2) not satisfy?

Q8:

Which of the following relations is satisfied by both the point (−1,1) and the point (0,3)?

Q9:

Evaluate 𝑓(−𝑥), given that 𝑓(𝑥)=3𝑥+7.

Q10:

Evaluate 𝑓(4−𝑥), given that 𝑓(𝑥)=3𝑥+7.

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