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Lesson Worksheet: Evaluating Functions Mathematics • 9th Grade

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(π‘₯)=βˆ’19π‘₯βˆ’16?

  • A(βˆ’206,βˆ’16)
  • B(βˆ’206,10)
  • C(10,βˆ’16)
  • D(10,βˆ’206)

Q2:

Find 𝑦, given the point (βˆ’2,𝑦) lies on the function 𝑓(π‘₯)=βˆ’6π‘₯βˆ’10π‘₯+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(βˆ’8) given the function 𝑓(π‘₯)=βˆ’11.

Q5:

Given that the function 𝑓(π‘₯)=βˆ’2π‘₯+10π‘₯βˆ’2, where π‘“βˆΆβ„β†’β„, determine 𝑓(3).

Q6:

Using the function 𝑦=π‘₯+3, calculate the corresponding output for an input of 2.

Q7:

Find the value of 4π‘“ο€»βˆš3ο‡βˆ’4π‘”ο€»βˆš3 given the function 𝑓(π‘₯)=π‘₯+7π‘₯ and the function 𝑔(π‘₯)=7π‘₯βˆ’4.

Q8:

Complete the given table of values for the function 𝑦=3π‘₯βˆ’2π‘₯.

π‘₯βˆ’2βˆ’1012
𝑦⋯⋯⋯⋯⋯
  • Aβˆ’16, βˆ’5, 1, 5, 16
  • Bβˆ’16, βˆ’5, 0, 1, 8
  • Cβˆ’8, βˆ’1, 0, 1, 8
  • Dβˆ’8, βˆ’1, 1, 5, 16
  • E16, 5, 0, 1, 8

Q9:

Complete the given table of values for the function 𝑦=15βˆ’7π‘₯+8π‘₯.

π‘₯βˆ’2βˆ’1012
𝑦⋯⋯⋯⋯⋯
  • Aβˆ’29, 0, 15, 16, 3
  • B27, 14, 8, 14, βˆ’3
  • C59, 30, 15, 16, 3
  • Dβˆ’29, 0, 8, 14, βˆ’3
  • E27, 14, 15, 16, 3

Q10:

Given that the point (3,𝑦) lies on the graph of 𝑓(π‘₯)=π‘₯βˆ’3π‘₯+4, find 𝑦.

  • A𝑦=2
  • B𝑦=βˆ’1
  • C𝑦=4
  • D𝑦=10
  • E𝑦=βˆ’4

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

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