Sequences and Series
Polynomials
Asymptotes and end behavior
Graphs of Polynomials
Exponent Rules
100
A sequence of numbers follows the rule: multiply the previous number by -2 and add 3.The fourth term in the sequence is -7.
Give the next 2 terms in the sequence.
17,-31,
100
Evaluate the polynomial function given by p(x) = 5x^3 + 8x^2 - 3x + 1
at x = -2
-1
100
What is the end behavior of the following polynomial:
-3x4+ 2x3 - 10x - 27
Frown
100
Is this function even or odd?
Even
100
What is the value of:
23 times 22 ?
25 or 32
200
What is the growth factor of the geometric sequence?
0.8, 0.08, 0.008, .....
10
200
Identify the degree, leading coefficient, and constant value of the following polynomial:
2x4+x3-3x -8
Degree 4
Leading coefficient 2
constant value -8
200
What is the end behavior:
- 7x3 + 3x2 -100
Up on the left down on the right
200
Is this function even or odd?
Odd
200
What is x6 divided by x4 ?
x2
300
What are the next three terms in the arithmetic sequence?
5, -4, . . . .
-13,-22,-31
300
Evaluate the following function at x=-3
7x3 - 2x2+3x + 10
- 211
300
What is the end behavior of the following function:
f(x) = 3x2 + 4x3 - 2x + 6
Down to the left
Up to the right
300
What is the constant term of the function below?
1
300
What is the value of 4 -3/2 ?
1/8
400
Complete the geometric sequence with the missing terms:
___, 12, 18, 27, ___
8, 81/2 (or 40.5)
400
What are the zeros of this polynomial:
f(x) = (x-2)(2x+3)(x+6)
2, -3/2, -6
400
Rewrite f(x) as a product of linear factors.
f(x) = x2 + 11x + 24
f(x) = (x+ 8)(x + 3)
400
A drug is prescribed for a patient to take 120 mg every 12 hours for 8 days. After 12
hours, 6% of this drug is still in the body. How much of the drug is in the body after
the last dose?
3080 mg
400
What is the value of (32)2
91
500
What are the first 5 terms of the sequence:
a(1) = 7
a(n) = a(n-1) - 3
7,4,1,-2,-5
500
Rewrite the polynomial in standard form:
f(x) = (x+1)(x+ 3)(x-4)
f(x) = x3 - 13x - 12
500
Rewrite the polynomial function as a product of linear factors:
f(x) = x2 + 4x - 12
f(x) = (x+6)(x - 2)
500
What are the linear factors of this function?
f(x) = (x+ 4)(x + 1)(x - 2)
500
What is the value of 3(93/2)-1/3
1