Module 5 (Rational Functions)
What is the vertical Asymptote of this function.
f(x) = 5/(x-4)
Vertical Asymptote is at x=4
f(x) = 3x
f-1(x) =
1/3x
What is Chase's Major?
Civil Engineering
What is the horizontal Asymptote of this function?
f(x) = ((2x+3)(3x+4))/(x^2+3x+4
If a function fails this test, it does not have an inverse.
The horizontal line test
What is Ericks Major?
Mechanical Engineering
Given the following, write the equation of the rational function.
Vertical Asymptotes at X=2, -3
Horizontal Asymptote at Y= 0
Passes through point (3,1)
No X - Intercepts
f(x) =
(6)/((x-2)(x+3))
When does a parabola have an inverse function?
When we restrict the domain.
What is Chase's Middle Name?
a. James
b. Thomas
c. John
a. James
Find all Asymptotes of this function.
f(x) = (-(3x+2)(5x+4))/(4x^2+16x+7)
Horizontal Asymptote at y=-15/4
Vertical Asymptote at x=-0.5 and -3.5
What is the range of this function.
f(x) = 2/(x+3)
Range is the Domain of the inverse.
Therefore (-inf,0)U(0,inf)
How many siblings does Erick have?
a. None
b. 3
c. 4
d. 5
e. None of the above
4
Find all Asymptotes of this function.
f(x) = (3x^3-4x+5)/((x+2)(x+3))
Slant Asymptote = 3x-15
Vertical Asymptote at x=-2,-3
Find the inverse of the function f-1(x).
Also State the domain of f-1(x)
f-1(x)= (5x-1)/(6x+7)
f(x) =
(-7x-1)/(6x-5)
Domain = (-inf , -7/6)U(-7/6, inf)
What car brand does Erick drive?
Ford