331841_FES.qxd
12/6/04
11:21 AM
Page 2
GRAPHS OF COMMON FUNCTIONS
y
y
y
4
f (x) = x
3
3
f (x) = c
2
y
f (x) =x
3
2
2
1
1
4
3
f(x) =
−2
1
2
3
Constant Function
y
x
−1
x
1
1
2
x
−1
−2
1
−1
−1
−2
−2
Identity Function
f (x) = x 2
y
2
1
x
1
Absolute Value Function
3
y=
4
2
3
1
2
−2
y
−1
1
−2
1
x
−1
2
1
2
−1
−1
−2
x
1
(1, 0)
x
−1
1
y = loga x
1
ax
(0, 1)
x
−1
3
Square Root Function
y
f (x) = x 3
2
2
5
−2
x
2
2
Squaring Function
Cubing Function
Exponential Function
Logarithmic Function
SYMMETRY
y
y
(−x, y)
y
x
x
(x, −y)
y-Axis Symmetry
(x, y)
(x, y)
(x, y)
x-Axis Symmetry
x
(−x, −y)
Origin Symmetry