Definitions
Adding and Subtracting Polynomials
Classifying and Multiplying
Relations, Functions, Domain and Range
Function Composition
100
What is a number or variable in a polynomial that is separated by an addition or subtraction sign
a term
100
Add the polynomials:
(-3a - 2) + (7a + 5)
4a + 3
100
Write the Polynomial in standard form. Then classify by the degree and number of terms: 1-x2
What is -x2+1 and quadratic binomial.
100
Is the following relation a function?
x | y
-2 4
-1 1
0 0
1 1
2 4
What is yes it is a function?
100
Evaluate the function: f(x)=-2x+1
f(-6)
What is f(-6)=13
200
The number before a variable within a term is called the...
Coefficient
200
Subtract the polynomials:
(g - 4) - (3g - 6)
-2g + 2
200
Write the Polynomial in standard form. Then classify by the degree and number of terms: 3x2-4x+6x5-1
What is 6x5+3x2-4x-1 and quintic polynomial
200
Express the table as mapping diagram. Then identify the domain and range.
x | y
1 1
2 4
-1 1
-2 4
What is domain={-2, -1, 1, 2}
What is range = {1, 4}
200
Evaluate the function: g(x)=-2x2+1
g(5)
What is g(5)=-49
300
A term that has no variable
Constant
300
Add the polynomials:
(t2 + 3t3 -3) + (2t2 +7t -2t3)
t3 +3t2 +7t -3
300
Multiply the Polynomials:
3x2 (2x4 + 4)
What is 6x6 + 12x2
300
Identify the domain
-infty <= x <=infty
300
Given g(x)=-2x2+1 and f(x)=-2x+1
Evaluate g(f(1))
What is g(f(1))= -1?
400
The highest exponent on the variables in a term
Degree of the term
400
Subtract the polynomials:
(-x2 - 5) - (-3x2 -x -8)
2x2 + x +3
400
(3x - 4)(2x + 5)
6x2 + 7x - 20
400
Identify the range
What is [-5,
infty)
400
Given g(x)=-2x2+1 and f(x)=-2x+1
Evaluate f(g(-2))
What is f(g(-2))=15?
500
Terms that have the same variables and the same degree are....
Like terms
500
Subtract the Polynomials:
(k2 + 6k3 -4) - (5k3 + 7k -3k2)
k3 + 4k2 -7k -4
500
(2x2-3x+1)(4x-3)
What is 8x3-18x2+13x-3
500
Determine the domain and range and if the relation is a function.
What is domain [0, infinity)
What is range (- infinity, infinity)
What is not a function, fails VLT
500
Given g(x)=-2x2+1 and f(x)=-2x+1
Evaluate f(g(x))
What is f(g(x))=4x2-1?