Inverse Variation
The width y, of a rectangle with a fixed area varies inversely with its length, x. The width is 3 inches when the length is 14 inches. Find the width when the length is 30 inches.
1.4
Find the horizontal asymptote of the graph of the rational function
y=x+2
2x2-3
y=0
The equation for inverse variation.
y=k/x
Describe the transformations needed to translate the graph of:
y=1 to the graph of y= 1 -4
x x+3
down 4, to the left 3
Three students can wash a car in 16 minutes. If the time varies inversely with the number of students washing the car, how many minutes will it take two students to complete the same job?
24 minutes
What are the horizontal and vertical asymptotes
f(x)=2x
x2-25
VA: 5,-5
HA: y=0
Graph the rational function.
h(x)= 2
x-2
VA: 2
HA: y=0
(4,1)
(3,2)
(1,-2)
(0,-1)
The graph of y=1/x is translated 3 units up and 2 units to the left. What is the equation of the translated graph?
a. y=1 /x+2 +3
b. 1/x-2 +3
c. 1/x-3 +2
d. 1/x+3 -2
a
Which equation shows the inverse variation represented in the table?
x -3 -1 1/2 2/3
y 4 12 -24 -18
a. y=x/-12
b. y=-x/12
c. y=12/x
d. -12/x
d. y=-12/x
What are the horizontal and vertical asymptotes of the graph of y=x+3
x4-81
VA: 3,-3,3i,-3i
HA:y=0
What are the vertical and horizontal asymptotes of the graph f(x)=3-2x
4-3x
VA:4/3
HA:2/3
The graph of which equation below has a horizontal asymptote at y=-3?
a. y=x-3/x+1
b. y=x/2-3x
c. 1-3x/2+x
d. 1+3x/2-3x
c
The table represents an inverse variation. What is the value of p?
x 3 10 15 30
y 5 p 1 .5
1.5
What are the horizontal and vertical asymptotes of the graph y= 5x+1
2x-5
VA: 5/2
HA: 5/2
A rectangle has area of x3+3x2-18x in2 and a width of x+6 in. What is the length in inches?
x(x-3)
If the graph of y=1/x is translated 4 units down and 7 units to the left, what is the equation?
y= 1 -4
x+7