Factoring
Intercepts and Zeros
Vertical and Horizontal Asymptotes
Exponentials
Transformation Form
100
Factor x2 + 6x - 16
(x + 8)(x - 2)
100
What are the zeros of this function?
x = -2, x = 2, x = 5
100
Find the vertical asymptote(s) of the following rational function: f(x) = (x2 + 3) / (x + 2)
x = -2
100
What is the exponential equation for the following table of values:
x y
0 2
1 6
2 18
3 54
y = 2 (3)x
100
Describe the transformation of the rational function y = 1 / (x + 1) from the parent function y = 1 / x
Shifted 1 unit to the left
200
Factor x2 - 3x + 2
(x - 2)(x - 1)
200
Find the zeros of the following function: f(x) = x2 - 9
x = 3 and x = -3
200
Find the vertical asymptote(s) of the following function: f(x) = (x2 + 3) / (x2 - 16)
x = 4 and x = -4
200
Find the exponential equation for the following table of values:
x y
0 300
1 150
2 75
3 37.5
y = 300 (1/2)x
200
Describe the transformation of the quadratic function y = (x-2)2 + 6 from the parent function y = x2
Shifted 2 units to the right and 6 units up
300
Factor 3x2 + 18
3 (x2 + 6)
300
Find the x - intercept(s) of the following function: f(x) = x2 + 8x + 16
x = -4
300
Find the horizontal asymptote(s) of the following function: f(x) = (x3 + x2 - 1) / (x + 3)
None
300
Find the exponential function for the following table of values:
x y
1 4
2 16
3 64
y = 1 (4)x
300
Describe the transformation of the function f(x) = 3x2 from the parent function f(x) = x2
Vertically stretched by a factor of 3 (skinnier)
400
Factor -2x + 6
-2 (x - 3)
400
Find the x-intercept(s) of the following function: f(x) = 3x2 - 21x + 30
x = 5 and x = 2
400
Find the horizontal asymptote(s) of the following function: f(x) = (x - 1) / (x2 - 5)
y = 0
400
For the exponential function y = 10 (3)x , for what x-value will the function reach 270?
x = 3
400
Describe the transformation of the radical function with a domain of [3, infinity) and a range of [-2, infinity)
Shifted to the right 3 and down 2
500
Factor 5x2 + 15x + 10
5 (x2 + 3x + 2) = 5 (x + 2) (x + 1)
500
Find the zeros of the following function: f(x) = -x2 - 4
None
500
Find the horizontal asymptote(s) of the following function: f(x) = (x2 - 3x + 5) / (2x2 - 6)
y = 1/2
500
If the population of ants starts at 30 and increases by 60% each week, which equation represents the population in each week?
A. y = 30 (0.6)x
B. y = 60 (0.3)x
C. y = 30 (1.6)x
D. y = 36 (1.3)x
C.
500
Find the a value of the function f(x) = a sqrt(x - h) + k where h = 3 and k = 2 and the function goes through the point (7, 7)
a = 2