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Module 5 (Rational Functions)
Quiz Review(Inverse functions)
SPT Trivia
100

What is the vertical Asymptote of this function.

f(x) =  5/(x-4) 

Vertical Asymptote is at x=4

100
Find f-1(x)

f(x) = 3x

f-1(x) =

1/3x

100

What is Chase's Major?

Civil Engineering

200

What is the horizontal Asymptote of this function?

f(x) =  ((2x+3)(3x+4))/(x^2+3x+4 

Horizontal Asymptote will be at y = 6
200

If a function fails this test, it does not have an inverse.

The horizontal line test

200

What is Ericks Major?

Mechanical Engineering

300

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))

300

When does a parabola have an inverse function?

When we restrict the domain.

300

What is Chase's Middle Name?

a. James

b. Thomas

c. John

a. James


400

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

400

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)

400

How many siblings does Erick have?

a. None

b. 3

c. 4

d. 5

e. None of the above

4

500

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

500

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)

500

What car brand does Erick drive?

Ford