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Worksheet: Evaluating Piecewise Functions

Q1:

Determine 𝑓 ( 0 ) .

Q2:

In the following graph, what is 𝑓 ( βˆ’ 4 ) ?

Q3:

Consider the function

What are the values of 𝑀 ( 0 ) and 𝑀 ( 0 . 3 ) ?

  • A 𝑀 ( 0 ) = βˆ’ 1 , 𝑀 ( 0 . 3 ) = βˆ’ 0 . 7
  • B 𝑀 ( 0 ) = 1 , 𝑀 ( 0 . 3 ) = 1 . 3
  • C 𝑀 ( 0 ) = βˆ’ 1 , 𝑀 ( 0 . 3 ) = βˆ’ 0 . 3
  • D 𝑀 ( 0 ) = 0 , 𝑀 ( 0 . 3 ) = 0 . 3
  • E 𝑀 ( 0 ) = 1 , 𝑀 ( 0 . 3 ) = 0 . 3

What are the values of 𝑀 ( 1 . 3 ) and 𝑀 ( 2 . 3 ) ?

  • A 𝑀 ( 1 . 3 ) = 0 . 3 , 𝑀 ( 2 . 3 ) = 0 . 3
  • B 𝑀 ( 1 . 3 ) = βˆ’ 0 . 7 , 𝑀 ( 2 . 3 ) = βˆ’ 1 . 7
  • C 𝑀 ( 1 . 3 ) = 0 . 3 , 𝑀 ( 2 . 3 ) is undefined
  • D 𝑀 ( 1 . 3 ) = 1 . 3 , 𝑀 ( 2 . 3 ) = 2 . 3
  • E both 𝑀 ( 1 . 3 ) and 𝑀 ( 2 . 3 ) are undefined

What are the values of 𝑀 ( βˆ’ 3 ) and 𝑀 ( 6 7 8 ) ?

  • A both 𝑀 ( βˆ’ 3 ) and 𝑀 ( 6 7 8 ) are undefined
  • B 𝑀 ( βˆ’ 3 ) = βˆ’ 3 , 𝑀 ( 6 7 8 ) = 6 7 8
  • C 𝑀 ( βˆ’ 3 ) = 0 , 𝑀 ( 6 7 8 ) = 0
  • D 𝑀 ( βˆ’ 3 ) is undefined, 𝑀 ( 6 7 8 ) = 0
  • E 𝑀 ( βˆ’ 3 ) = 0 , 𝑀 ( 6 7 8 ) is undefined

What is the domain of the function 𝑀 ?

  • A ℝ
  • B [ 0 , 1 ]
  • C [ βˆ’ 1 , 2 )
  • D ℝ ⧡ β„€
  • E [ 0 , 1 )

Q4:

Find the missing table values for

π‘₯ βˆ’ 3 0 3
𝑔 ( π‘₯ )
  • A 1 8 , 0 , 1 8
  • B 8 , 0 , 8
  • C 8 , 1 , 1 8
  • D 1 8 , 1 , 8

Q5:

Consider the function Find 𝑓 [ 𝑓 ( 2 ) ] .

Q6:

Determine 𝑓 ( 1 ) .

  • A5
  • B1
  • Cundefined

Q7:

Determine 𝑓 ( 2 ) .

  • A2
  • B βˆ’ 2
  • C0
  • Dundefined

Q8:

Determine 𝑓 ( βˆ’ 3 ) .

Q9:

Determine 𝑓 ( βˆ’ 2 ) .

Q10:

From the following graph, determine 𝑓 ( 2 ) .

  • A βˆ’ 1
  • B0
  • C βˆ’ 3
  • Dundefined

Q11:

Determine 𝑓 ( 0 ) using the graph below.

Q12:

Given that the function find the value of 𝑓 ( 4 ) .

Q13:

Given that the function represents the price of electrical appliances in LE, where π‘₯ is the number of appliances, find 𝑓 ( 5 2 , 0 0 0 ) .

Q14:

Complete the table with the missing values of 𝑓 ( π‘₯ ) given

π‘₯ βˆ’ 8 βˆ’ 7 βˆ’ 5 βˆ’ 2 βˆ’ 1
𝑓 ( π‘₯ )
  • A 3 , βˆ’ 3 , βˆ’ 1 , βˆ’ 2 , 2
  • B βˆ’ 3 , βˆ’ 3 , βˆ’ 1 , 2 , βˆ’ 2
  • C 3 , 3 , 1 , βˆ’ 2 , βˆ’ 2
  • D βˆ’ 3 , 3 , 1 , 2 , βˆ’ 2

Q15:

Find 𝑓 ( 5 ) .

  • A βˆ’ 5
  • B5
  • C βˆ’ 2
  • Dundefined.

Q16:

Given that the velocity of a motorcycle is expressed by the function where 𝑑 is the time in seconds, and 𝑣 is the velocity in m/s, determine 𝑣 ( 8 2 ) .