Review on Function

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

Which of the following set of ordered pairs in NOT a function?

• (1,2),(2,3),(3,4),(4,5)

• (1,2),(1,3),(3,6),(4,8)

• (1, 1), (2, 2), (3, 3), (4, 4)

• (3, 2), (4, 2), (5, 2), (6, 2)

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

• -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

• -67

• 67

• 77

• -77

What is the value of f(-1)?

• undefined

• -2

• 1

• -1

• a correct answer is not shown

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)