Review on Functions

It is a set of ordered pairs (𝑥,𝑦) such that no two ordered pairs have the same x value but different y-values.

• relation

• function

• domain

• range

Given 𝑓(𝑥) = 2𝑥 − 5 and 𝑔(𝑥) = 3𝑥 + 4, solve for (𝑔 ○ 𝑓)(𝑥).

• 11 − 6𝑥

• 6𝑥²− 7𝑥 − 20

• 6𝑥 − 11

• 6𝑥² − 23𝑥 − 20

Given 𝑦 = 3𝑥 + 7, what is 𝑓(−2)?

• 1

• -1

• -13

• 13

The composite function denoted by 𝑓 ○ 𝑔 is defined as _____________.

• (𝑓 ○ 𝑔)(𝑥) = 𝑓(𝑔(𝑥))

• (𝑓 ○ 𝑔)(𝑥) = 𝑔(𝑓(𝑥))

• (𝑓 ○ 𝑔)(𝑥) = 𝑓(𝑥)●𝑔(𝑥)

• (𝑓 ○ 𝑔)(𝑥) = 𝑔(𝑥)●𝑓(𝑥)

• -20

• 20

• -24

• 24

Which of the following statements are true about the relation shown?

• The relation is a function

• f(-2) is undefined

• f(1) is undefined

• f(-1) > f(2.3)

• f(f(f(f(f(f(4))))) = 4

• 16

• 48

• -28

• 4

Which of the following is the correct definition of a function?

• A relation where each input has exactly one output

• A relation where each input has multiple outputs

• A relation where each output has multiple inputs

• A relation where inputs and outputs are the same

• -67

• 67

• 77

• -77

Which of the following represents a function?