Even function
𝑓(𝑥) = 𝑥 2 + 7
Range: [7, ∞)
𝑓(2) = 11
1
𝑓(𝑥) = 𝑥
3
Function value is
27 at 𝑥 = 3
Odd function
Range: all real
numbers
Even function
Range: (−∞, −3]
Function value is
-4 at 𝑥 = −1 and
𝑥=1
Even piecewise
function
Function can be
rewritten as
𝑓(𝑥) = |𝑥|
Function has a
relative min of 0
at x=0
Function is
decreasing from
x=-1 to x=0
Function has a
relative max of 4
at x=-1
2
𝑓(𝑥) = −𝑥 2 − 3
3
𝑥, 𝑥 ≥ 0
𝑓(𝑥) = {
−𝑥, 𝑥 < 0
4
f(x) is a piecewise
function of x,
𝑥 2 + 3, 𝑥 ≥ −1
𝑓(𝑥) = {
𝑥 + 5, 𝑥 < −1
neither even nor
odd
5
Function has a
relative max of 2
at x=1 and a
relative min of -2
at x=-1
𝑓(2) = −2
Function is
decreasing on the
interval (1, ∞)
Not a function
Domain: [0, ∞)
𝑥 = 𝑦2
Range: [−1, 1]
𝑓(𝜋) = 0
Function has a
relative max of 1
𝜋
at 𝑥 = 2
Range: [−2, 2]
Function is
increasing on the
interval (−𝜋, 0)
Function has a
relative min of -2
at 𝑥 = −𝜋
Domain:
{−2, −1, 0, 1, 2}
Even function
(table)
Graph contains
the point (2, 3)
6
7
8
9
10
Domain: {0, 1, 2}
Not a function
(table)
Graph contains
the point (0, 1)
11
Range:
{3, 2, 0, −2, −3}
Odd function
(table)
Graph contains
the point (-1, 2)
12
A pebble gets stuck in your
bike tire as you ride forward at
a constant speed. x is the
amount of time you have been
riding, and h is the height of the
pebble
13
h is a function of x
Range: [0, 𝐷],
where D
represents the
diameter of the
tire
The domain does
not contain any
negative
numbers