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Vocabulary
Exponent Rules
Simplifying Polynomials
Function Tables
Asymptotes and End Behavior
100
The number in front of a variable
Coefficient
100
x
0
1
100
2x
4
- 3x
3
+ 2x - 7x
3
+ 4x
2x
4
- 10x
3
+6x
100
Identify the function family of a function whose outputs are the following: 2, 4, 6, 8, 10, 12...
Linear
100
What is the equation of a vertical asymptote?
x = #
200
The line that the function approaches but never touches.
Asymptote
200
x
9
/x
4
x
5
200
(2x
3
+ 4x
2
) - (5x
3
- 8x
2
)
-3x
3
+ 12x
2
200
A function has the following table of values:
x --> 1, 2, 3, 4, 5
y --> 3, 6, 9, 12, 15
What is its inverse's output values?
1 2 3 4 5
200
Identify the horizontal asymptote of the function:
(x + 3)
(2x + 1)
y = 1/2
300
A function that switches the input and output.
An inverse
300
2x
3
* 4x
8x
4
300
Find the inverse of f(x) = 3x + 7.
f
-1
(x) = (x-7)/3
300
Identify the function family of a function whose outputs are the following: 2, 4, 8, 16, 32, 64
Exponential
300
Identify the vertical asymptote of the function:
(x + 3)
(2x + 1)
x = -1/2
400
A graph’s behavior at its ends.
End Behavior
400
(2x
2
)
3
8x
6
400
(x + 2)(2x - 5)
2x
2
- x - 10
400
Identify the function family of a function whose outputs are the following: 4, 1, 0, 1, 4
Quadratic
400
Describe the end behavior of the letter U.
+infinity, +infinity
500
The largest exponent in a polynomial
Degree
500
x
5
/x
7
1/x
2
500
(x + 1)(3x
2
- 2x + 4)
3x
3
+ x
2
+ 2x + 4
500
While the other function families have a common difference, exponential functions have a common what?
Common Ratio
500
Describe the end behavior of the function: 2x
3
+ 3x
2
+2
+infinity, -infinity