Attributes of
Parent Functions
Parent Functions
Which Parent Function looks like a "v" & what's it's domain?
Absolute Value & (-infinity, infinity)
f(x)= x-2/(x-1)(x+3)
POD: x=1, x=-3
45k5 + 9k4 + 9k3
9k3(5k2 + k + 1)
f(x)=3x + 2
f-1(x)=1/3x - 2/3
2x2 + 5x/ x2 + 4x + 3
+
x2 - 12/ x2 + 4x + 3
(3x - 4)/(x+7)
What is the equation for a Quadratic Parent Function?
f(x)=x2
f(x)=(x-1)(x-1)
POD: x not equal -1
-3n + 30
-3(n - 10)
f(x)=-5x - 7
f-1(x)=1/5x - 7/5
2x2 + 18x + 10/x2 - 49
+
x2 + 5x + 4/x2 - 49
(3x +2)/(x+7)
What Parent Function is a 180%?
A Linear Parent Function
f(x)= x-1/(x+2)(x+2)
POD: x not equal -2
b2 + 11b + 18
(b + 9)(b + 2)
f(x)=12x - 3
f-1(x)=1/12x + 1/4
x-2/5x
x
10x/3x2 - 12
2/3(x + 2)
1/x, this equation does this Parent Function belong to?
Rational Parent Function
f(x)= -2x/x-3
HA: y=2
x2 + 8xy - 9y2
(x + 9y)(x - 1y)
f(x)=-8x + 16
f-1(x)= -1/8x + 2
3x/4y
divided by
6x/5z
5z/8y
What's the difference between Cube Root & Cubic Parent Functions?
The Cube Root points away from the origin & it's pointing to the sides.
The Cubic Function points away from the origin & is pointing upwards.
f(x)=x1-2/x2 - 2x - 3
HA: y=0
x2 - 13x + 42
(x - 7)(x - 6)
f(x)=2/3x + 10/3
f-1(x)=3/2x + 15/2
3x/35y
divided by
49y/122z
7x/20z