Function Notations

Notation for Equations.

Formula

y equals four times the
quantity x+2 squared

Evaluate when 𝑥 = 3

4 3 + 2"= 100

Euler Notation:

Function

f of x equals four times the
quantity x+2 squared

𝑓 3 = 4 3 + 2"= 100

Arrow(Mapping)

A maps x to four times the
quantity x+2 squared

𝐴: 3 → 4 3 + 2"= 100

In the table x is the year and p(x) is the
average price of a gallon of gas.

x

1976 1982 1988 1996 2008 2009 2013 2018 2022

P(x)

61

129

94

113

397

184

339

276

397

◦ What is 𝐏(𝟐𝟎𝟎𝟖) and what does it mean?

◦ What is 𝑷(𝟐𝟎𝟐𝟐) − 𝑷(𝟏𝟗𝟕𝟔)? What does the answer represent?

◦ What is

𝑷 𝟐𝟎𝟐𝟐 - 𝑷 𝟏𝟗𝟕𝟔

𝟐𝟎𝟐𝟐 - 𝟏𝟗𝟕𝟔
What does the answer represent?

1976 1982 1988 1996 2008 2009 2013 2018 2022

In the table x is the year and p(x) is the
average price of a gallon of gas.

x

P(x)

61

129

94

113

397

184

339

276

397

◦ What is x when 𝑷(𝒙) = 𝟑𝟑𝟗? What does the answer represent?

◦ What is x when 𝑷(𝒙) = 𝟑𝟗𝟕? What does the answer represent?

◦ Is the price a function of the year?

◦ Is the year a function of the price?

​1976. 1982. 1988. 1996. 2008. 2009. 2013. 2018. 2022

Kyle is saving money for college. He now has
$576 in his account. He plans to save $50 each
week.

How much will he
have after 6 weeks?

How much will he
have after w weeks?