Relations and Functions
Equations as Functions
Zeros
Function Notation
Arithmetic Sequence
100
What is the Domain?
{(-6,5), (3,8), (9,2), (-6, 0)}
-6,3,9
100
Complete the relation.
y=-2x+5
{(0,__), (1,__), (3,__), (5,__)}
5, 3, -1,-5
100
Find zeros algebraically
f(x)=2x-6
x=3
100
What is the function value of
f(6)=5x-20
10
100
Determine whether the sequence is an arithmetic sequence. If yes, identify the common difference.
8, 6, 4, 2, . . .
Yes. The common difference is -2.
200
What is the Range?
{(2,7), (5,9), (12,3), (8,6), (3,-3)}
-3,3,6,7,9
200
Complete the function table below.
-1, 0, 2, 4
200
Find the zeros algebraically
f(x)=2x+10
x=-5
200
If f(x)=x2+3x-2, find f(-2)
-4
200
Which equation represents the nth term of the sequence {2,-1,-4,-7....}?
an=2-3(n-1)
300
Determine if the relation is a function.
{(-4,8), (-3,1), (0,-5), (-3,2), (5,8)}
No
300
Given the function g(x)= x2-2, find the range for the domain {-2, -1, 1, 3}
{-1,2,7}
300
Graphically, what are the zeros of the function:
f(x)=x3+3x2-x-3
-3,-1,1
300
Evaluate the function for the given value.
300
Given the sequence {-1,3,7,11,....} find a25
95
400
What is a function?
A function is a relationship between inputs where each input is related to exactly one output.
400
Find the range of the function y = -x2-3x when the domain is {-5,0,2}
-10, 0,
400
Algebraically, what are the zero(s) of the function:
f(x)=8x-16
x=2
400
If g(x)=3x-2, find g(8)-g(-5)
39
400
Find a20 of the sequence below.
-11, -8, -5, -2
46
500
What is the domain and range of the function below?
Domain: [-2, positive infinity)
Range: [-4, positive infinity)
500
Complete the function table below.
500
What are zeros?
The x-intercepts of a function. where f(x)=0
500
If f(x)=3x2-2x+12 and g(x)=2x4-4x2-x+1
Find f(4)-g(2)
37
500
A doctor prescribed 15 pills for his patient to be taken in the first week. Given that the patient should decrease the dosage by 3 pills every week, find the week in which he will stop taking the medicine completely.
6th week