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Lesson Worksheet: Evaluating Functions Mathematics • 9th Grade

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In this worksheet, we will practice calculating the value (or output) of a function using its equation or its graph.

Q1:

Which of the following set of coordinates lies on 𝑓(𝑥)=−19𝑥−16?

  • A(−206,−16)
  • B(−206,10)
  • C(10,−16)
  • D(10,−206)

Q2:

Find 𝑦, given the point (−2,𝑦) lies on the function 𝑓(𝑥)=−6𝑥−10𝑥+8.

Q3:

Several fish were accidentally released into a lake. After 𝑛 weeks, the number of fish is estimated to be 𝑓(𝑛)=59(1.1). Determine the likely number of fish in the lake after 5 weeks. Give your answer to the nearest whole number.

Q4:

Find 𝑓(5)+𝑓(−8) given the function 𝑓(𝑥)=−11.

Q5:

Given that the function 𝑓(𝑥)=−2𝑥+10𝑥−2, where 𝑓∶ℝ→ℝ, determine 𝑓(3).

Q6:

Using the function 𝑦=𝑥+3, calculate the corresponding output for an input of 2.

Q7:

Find the value of 4𝑓√3−4𝑔√3 given the function 𝑓(𝑥)=𝑥+7𝑥 and the function 𝑔(𝑥)=7𝑥−4.

Q8:

Complete the given table of values for the function 𝑦=3𝑥−2𝑥.

𝑥−2−1012
𝑦⋯⋯⋯⋯⋯
  • A−16, −5, 1, 5, 16
  • B−16, −5, 0, 1, 8
  • C−8, −1, 0, 1, 8
  • D−8, −1, 1, 5, 16
  • E16, 5, 0, 1, 8

Q9:

Complete the given table of values for the function 𝑦=15−7𝑥+8𝑥.

𝑥−2−1012
𝑦⋯⋯⋯⋯⋯
  • A−29, 0, 15, 16, 3
  • B27, 14, 8, 14, −3
  • C59, 30, 15, 16, 3
  • D−29, 0, 8, 14, −3
  • E27, 14, 15, 16, 3

Q10:

Given that the point (3,𝑦) lies on the graph of 𝑓(𝑥)=𝑥−3𝑥+4, find 𝑦.

  • A𝑦=2
  • B𝑦=−1
  • C𝑦=4
  • D𝑦=10
  • E𝑦=−4

This lesson includes 21 additional questions and 130 additional question variations for subscribers.

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