Functions/Relations
Function Operations
Polynomials
Inverse Functions
Absolute Value
100
y= x2 is this a function? If so why?
yes, it's a parabola
100
f(x)= 3x+5
g(x)= x2
find f(x)+g(x)
x2+3x+5
100
x=3y-5
y= 1/3x + 5/3x
100
|x-12|=24
x=-12 and x=36
200
(2,0) (9,-1) (7,6) (8,0) is this a function? And how do you know?
Yes, the x doesn't repeat
200
g(n)= 4n-4
f(n)= n3+4
find (g+f)(n)
n3+4n
200
g(x) = 2x2+5
g(4x)
32x2+5
200
f(x)= 4x+9
y= 1/4x - 9/4
200
|2x-5|=9
x= -2 and x=7
300
D: {-2,0,5,-2,3}
R: {-1,3,4,3}
Is this a function? And why?
Yes, the x doesn't repeat
300
If f (x) = 3x - 2, what is the value of:
a) f (1)
b) f (2)
c) f (- 4)
d) f (z)
e) f (2x)
f) f (2x + 1)
a) 1
b) 4
c) -14
d) 3z - 2
e) 6x - 2
f) 6x + 1
300
Factor a2 - b2 + 12b - 36 =
(a - b + 6)(a + b - 6)
300
f(n)=x2+1
g(n)=2x-5
Find f(n)-g(n)
x2-2x+6
300
2|3x-6|<14
x<13/3 and x>1/3
400
Is the relation described by the values also a function? Justify your answer
X: -4, -2, 0, -2, 4, 6, 8
Y: 0, 2, -3, -5, 7, 10
A) Yes, because all the output values are different
B) Yes, because it's not linear
C) No, because there's an input value that has two different output values
D)No, because it's not linear
C: No, because there's an input value that has two different output values
400
f (x) = 2x + 4 and g(x) = 4x2 - 2x, what is the value of:
a) (f + g)(2)
b) (f + g)(- 1)
c) (f + g)(0)
d) (f + g)(x)
e) (f + g)(2x)
a) 20
b) 8
c) 4
d) 4x2 + 4
e) 16x2 + 4
400
Factor 3x3 - x2y +6x2y - 2xy2 + 3xy2 - y3
(3x - y)(x + y)2
500
Marty wants to collect data on the size of his baby hamster as it grows. He decides to construct a table with age in weeks and length in centimeters as variables. Will the ordered pairs from Marty’s data represent a function or a relation?
Function, because the hamster can only have one length at a given week
500
If f (x) = 
x - 4 and g(x) = 
x + 6, what is the value of:
a) (f + g)(3)
b) (f + g)(- 5)
c) (f + g)(x)
d) (f + g)(x + 7)
a) 8
b) -8
c) 2x + 2
d) 2x + 16
500
A) Factor x2 - 6x + 9 - 4y2=
B) Factor a2 - b2 - 10b - 25 =
A) (x - 3 - y)(x - 3 + 2y)
B) (a - b - 5)(a + b + 5)