Functions and Relations
Function Operations
Polynomials
Inverse Functions
Absolute Value
100
Is this is a function?
{(2,3), (5,1), (7, 10), (11,8)}
Yes
100
Solve the function.
f(x)= 3x+3
G(x) =-4x +1
(f+g) (10)
-6
100
Factor out the polynomial
(a+5)2
a2+10a+25
100
What is the inverse of 3/4?
4/3
100
What is the absolute value of l -10 l ?
10
200
Which of these is not a function?
C
200
Solve the function.
f(x)= 4x-3
g(x) = 2x- 6
(f-g) (4)=
11
200
Solve the polynomial
5x2-2x + 3x2-6x
8x2-8x
200
What is the inverse of y=x+1?
y=x-1
200
l 3x l = 9
x=?
x=3,-3
300
List the range.
{3, 5, 11, 21}
300
Solve the function.
f(x) = x2+4 +2x
h(x)= -3x +2
(f × h) (2)
-48
300
Solve the polynomial 
13x4+3x3+3x
300
f (x) = −x + 3
f-1 (x) = ?
f -1(x) = −x + 3
300
l −4 + 5x l = 16
x= ?
x = 4 ,-12/5
400
What is the domain?
[-2, 1]
400
Solve the following function
f(x) = 2x-2
g(x)=2
(f/g)(2)=
1
400
Multiply the factors
(k2 + 6) (k2 + 8)
k4 + 14k2 + 48
400
State if the given functions are inverses.
g(x) = 4 − 3x/2
f (x)=x/2+3/2
No
400
l m-2 l < 8
What is the value of m?
m > -6
m < 10
500
What is the restriction? y= 1/ (3x +4)
x ≠ -4/3
500
Solve the following equation
f(n) = 3n+2
g(n) = 2n2+5
f(g(2))=
41
500
Multiply the factors
(4d2 + 6d + 8) (9d2 + 7d + 2)
36d4 + 82d3 + 122d2 + 68d + 16
500
Are these functions inverses of each other?
g(x) = − 2/x − 1
f (x) = − (2 /(x + 1))
Yes
500
l x-2 l -5 < -2
What is the value of x?
x > -1
x < 5