Function Notation
Sequences
Quadratics
Polynomial Arithmetic
Polynomial Equations and Graphs
100
f(x) = 30x - 14
f(2) = ?
f(2) = 30*2-14 = 46
100
Is the following sequence arithmetic, geometric, or neither?
10, 7, 4, 1, -2, -5, ...
Arithmetic (subtract 3 each time)
100
What are the solutions to the following quadratic equation
(x+6)(x-2)= 0
x = -6, 2
100
(4x^3- 2x + 1) + (7x^2 + 12x)
4x^3 + 7x^2 + 10x + 1
100
What are the degree, leading coefficient, and constant term of this polynomial:
5x^3 - 9x^5 + 6
Degree: 5
LC: -9
Constant: 6
200
Is this graph a function - yes or no?
No!!!!
200
Write the next 3 terms of the sequence:
2, -4, 8, -16, ...
2, -4, 8, -16, 32, -64, 128
200
Set up (don't solve or simplify) the quadratic formula for this equation:
2x^2 + 5x - 1 = 2
x = (-5 +- sqrt(5^2-4(2)(-3)))/(2(2))
200
3x^2(5x^2 + x + 4)
15x^4 + 3x^3 + 12x^2
200
Sketch the end behavior of this polynomial:
-7x^5 + 4x^3 - 9x^2
300
f(x) = (x^2+2)/(x-1)
f(2) = ?
f(2) = (2^2+2)/(2-1) =6
300
Write the first 5 terms of the sequence given the following formula:
f(1) = 8
f(n) = f(n - 1) + 1.5, n >= 2
8, 9.5, 11, 12.5, 14
300
Factor the following quadratic:
x^2 +4x - 5
(x - 1)(x + 5)
300
(-10x^6 + 7x^2 - 8) - (4x^6 - 3x^2 + 2x)
-14x^6 + 10x^2 - 2x - 8
300
What are the zeroes of the polynomial
(x - 4)(2x + 1)(x - 9)^2
x = 4, -1/2 , 9
400
Find the value(s) of x such that g(x) = 3
x = -3, 0, and 1
400
Write an explicit formula for the following sequence:
3, 30, 300, 3000, ...
f(n) = 3 * 10^n, n >= 0
400
Solve the following quadratic equation using whatever method you like:
2x^2+6x+12 = 8
x = -2 or -1
400
(4x^5 - 3x^4 + 2x)(-x^3 + 5x^2)
-4x^8 + 23x^7 -15x^6 - 2x^4 + 10x^3
400
What are the degree, leading coefficient, and constant term of the following polynomial?
(x + 1)(2x - 3)(5x + 4)
Degree: 3
Leading Coefficient: 10
Constant: -12
500
The temperature T of a room is a function of the number of hours h a heater has been running. Convert the following sentence to function notation:
After 6 hours, the temperature is 82 degrees F.
T(6) = 82
500
Write an explicit formula for the following sequence:
4, 9, 16, 25, 36, 49, 64, ...
f(n) = (n+1)^2, n>=1
500
Find the vertex for the following quadratic
2x^2-10x+14
(2.5, 1.5)
500
(3x + 1)(2 - 9x^2) - (4x^3 + 8x^2 - x)
-31x^3-17x^2+7x+2
500
The degree is: even / odd
The leading coefficient is: positive / negative
The constant term is:
The zeroes are:
The degree is: odd
The leading coefficient is: positive
The constant term is: -2
The zeroes are: -3, -1, 2