Lesson: Evaluating a Function at a Given Value

In this lesson, we will learn how to calculate the value (or output) of a function given a specified input.

Sample Question Videos

  • 01:26
  • 01:19
  • 01:41

Worksheet: Evaluating a Function at a Given Value • 13 Questions • 5 Videos

Q1:

Which of the following set of coordinates lies on 𝑓 ( π‘₯ ) = βˆ’ 1 9 π‘₯ βˆ’ 1 6 ?

Q2:

Find 𝑦 , given the point ( βˆ’ 2 , 𝑦 ) lies on the function 𝑓 ( π‘₯ ) = βˆ’ 6 π‘₯ βˆ’ 1 0 π‘₯ + 8 2 .

Q3:

Several fish were accidentally released into a lake. After 𝑛 weeks, the number of fish is estimated to be 𝑓 ( 𝑛 ) = 5 9 ( 1 . 1 ) 𝑛 . 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’ 1 1 .

Q5:

Given that the function 𝑓 ( π‘₯ ) = βˆ’ 2 π‘₯ + 1 0 π‘₯ βˆ’ 2 2 , where 𝑓 ∢ ℝ β†’ ℝ , determine 𝑓 ( 3 ) .

Q6:

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

Q7:

Find the value of 4 𝑓 ο€» √ 3  βˆ’ 4 𝑔 ο€» √ 3  given the function 𝑓 ( π‘₯ ) = π‘₯ + 7 π‘₯ 2 and the function 𝑔 ( π‘₯ ) = 7 π‘₯ βˆ’ 4 .

Q8:

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

π‘₯ βˆ’ 2 βˆ’ 1 0 1 2
𝑦

Q9:

Complete the given table of values for the function 𝑦 = 1 5 βˆ’ 7 π‘₯ + 8 π‘₯ 2 .

π‘₯ βˆ’ 2 βˆ’ 1 0 1 2
𝑦

Q10:

Given that the point ( 3 , 𝑦 ) lies on the graph of 𝑓 ( π‘₯ ) = π‘₯ βˆ’ 3 π‘₯ + 4 2 , find 𝑦 .

Q11:

If 𝑓 ( π‘₯ ) = 7 π‘₯ βˆ’ 4 π‘₯ βˆ’ 5 2 , find 𝑓 ο€» 4 + √ 6  βˆ’ 𝑓 ο€» 4 βˆ’ √ 6  .

Q12:

Find 𝑦 , given the point ( βˆ’ 4 , 𝑦 ) lies on the function 𝑓 ( π‘₯ ) = βˆ’ 8 π‘₯ + 5 2 .

Q13:

Which of the following set of coordinates lies on 𝑓 ( π‘₯ ) = 1 3 π‘₯ βˆ’ 1 3 ?

Preview

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.