1. Aim: What is the function notation?
Do Now:
1. y = x + 2, find y when x = 4
2. y = x2 + 1, find y when x = 2
HW: p.129 # 3,4,7,10,12,14,15 p.126 # 17,19,21

2. We know the graphs of y = x + 2 and y = x2 +1 are a line and a parabola.
We also know both y = x + 2 and y = x2 +1 are functions
We can use different function notations to write them
The following are the common function notations:
Where the letter can be changed to g, h, or other letters
The most common notation is f(x) = ···········

3. From the above examples, we know that y = f(x)
Let’s compare two types of notations for the same question from Do Now
y = x + 2, f(x) = x + 2
if x = 4 then y = = f(4) = = 6
y = x f(x) = x2 + 1
If x = 2, y = = f(2) = = 5
From the above examples, we know that y = f(x)

4. Given a function f(x) = 2x + 15, find the value of f(-3)
Given a function g(x) = x2 – 7, find the value of g(2)
g(2) = 22 – 7 = 4 – 7 = – 3

5. Let f be the set of ordered pairs such that the second element of each pair is 1 more than twice the first.
Write f(x) in terms of x.
Find f(7)
Find f(-5)

6. The graph of function f is shown above. Find
a. f(-1) b. f(0) c. f(1) d. f(3)

7. Find the domain of the following functions:1. 2. 3. 4.