Functions/Relations
Function Operation
Polynomials
Inverse
Absolute Value
100
Is this a function?
(5,6) (7,2) (6,3)
Yes
100
y=7x+4
x=7
53
100
(3x – 5)(2x2 – 4x + 7)
6x3-22x2+41x-35
100
What is the inverse of 3/8?
8/3
100
|4p−7|=3
p=1and p=5/2
200
Is this a relation?
No
200
g(n)=4n-4
f(n)=n3+4
Find (g+f)(n)
n3+4n
200
(4x + 3)(3x2 – 5x – 6)
12x3-11x2-39x-18
200
y= x - 7 / 2
2x+7=y
200
|2−4x|=1
x=1/4and x=3/4
300
Is a relation always a function?
No
300
f(n)=x2+1
g(n)=2x-5
Find f(n)-g(n)
x2-2x+6
300
(2x2 – 5x)(9x2 + 6x + 4)
18x4-33x3-22x2-20x
300
y = x + 4 / 5
5x-4=y
300
|2x−3|= 4−x
x=−1 x=7/3
400
Which point is included? (8,2]
2
400
f(x)=x3-3x
g(x)=-4x+1
Find f(x)*g(x)
-4x4+x3+12x2-3x
400
(4x – 7) - (2x – 9)
2x+2
400
y= x + 6
y= x - 6
400
6 + l 3x-17 l = 4
No Solution
500
Sometimes the Domain is what?
Infinite but restricted
500
g(x)=x-1
f(x)=x2-2x
Find (g-f)(x)
-x2+3x-1
500
500
y= 2x - 1
1/2x + 1/2 = y
500
l x + 3 l + 12 = 5
No Solution