Rational Functions
f(x)=p(x)/q(x); where q(x) can not equal 0.
What is a rational function?
The invisible dotted line on a rational function graph.
What is the vertical asymptote?
square root (x)
What is the parent function of the square root radical function?
cube root(x)
What is the parent function of a cube root?
Graph moves from left to right
Graph moves up and down
What is a horizontal and vertical shift?
What is the shape of a rational function graph?
1. Set your denominator equal to 0
2. Solve for x
What is how to find the vertical asymptote?
0
1
4
9
16
What is perfect squares?
-8
-1
0
1
8
y= - square root (x)
What is a reflection over the x-axis?
xy=k
x=7
y=3
What is 21?
xy=10
y=5/x
What is inverse variation?
x greater than or equal to 0
y greater than or equal to 0
What is the Domain and Range?
The subscript attached to the radical.
y= 1/2 * square root(x+3) +7
What is to the left 3 units, up 7 units, and shrink 1/2?
y=k/x
y=50
x=6
What is 300?
f(x)=(x2-4)/(x2+x-2)
What is x=1?
1. Form a table
2. Find your x values
3. Substitute your x values into the function
4. Solve for y
5. Write the coordinate
6. Plot the graph
What is how to graph a square root function?
- infinity < x < infinity
- infinity < y < infinity
What is the domain and range?
y= a * square root (x-h) + k
transformation of a
What is the dilation?
The quotient of two polynomial functions.
What is a rational function?
This causes the numerator and denominator of a rational function to become 0/0.
What is a hole?
The number underneath the radical
What is the radicand?
S-shape
What is the graph of a cube root function?
y= cube root (8x-64) -5
name the transformation
What is stretch by 2, right 8, and down 5?