Unit 1
Give the equation for a quadratic equation
y=x2
What is the interval of increasing
(0, infinity)
What are the transformation of 4/(x+3)+5?
Vertical shift up 5 units
Horizontal Shift right 3 units
Vertical Stretch, or Horizontal Compression by a factor of 4.
What is the vertex of the following equation: (x+3)2-8
(-3, -8)
What is the axis o symmetry for the following function?
x=3
What is the interval of Decreasing?
(infinity, 0)
Using thee equation below, determine where the discontinuities are located. (x2-4)/(x2-3x+2)
x=2
What is the equation of a rational function parent function?
y=1/x
What is the asymptote of the following function?
x=-3
What is the end behavior of the following function?
x - > infinity, y -> infinity
x ->-inffinity, y ->infinity
What is the Horizontal asymptote of the following rational function? (x+6)/(x2-36)
y=0
Find the 0's Between two sets of numbers using the intermediate value theorem (IVT) for the equation x3-64x
Between x=________ and x=________
Between x=________ and x=________
Between x=________ and x=________
x=-1 and x=1
x=7 and x=9
x=-7 and x=-9
What is the transformation of the following function?
(x-4)2-3
Horizontal shift right 4 units
Vertical shift down 3 Units
Use Synthetic division to divide the equation: r2+10r+13/r+7
r+3 - 8/r+7
What is the vertical asymptote of the following rational function? (x+6)/(x2-36)
x=6
What is the Domain and Range of 4/(x-3)+5
D: (-infinity, 3) U (3, infinity)
R: (-infinity, 5) U (5, infinity)
What is the Domain and Range of the following function?
D: (-3, infinity)
R: All Real Numbers
The area of a rectangle is given by g2-9. The width of the rectangle is g-3. Find an expression of the length of the rectangle.
g+3
What is the Horizontal and Vertical asymptotes of the following rational function? (x2-4)/(x2-3x+2)
HA: y=1
VA: x=1
The length of a square is 2x-3. What is the area?
4x2-12x+9