3.6 Rational functions Bamboozle | Baamboozle - Baamboozle

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What are x = -3 and x = 4

The X-intercepts

The Holes

Mr.Daiv's favourite numbers!!!

The vertical asymptotes

Define the holes and asymptotes of the following function...

Holes: at (-4, -1/5), VA at x = 1 , and HA at y = 0

Write a rational function f that has vertical asymptote at x = 2 , a horizontal asymptote at y = 3 and a zero at x = − 1 .

f(x) = 3(x+1) / (x-2)

Find the vertical asymptotes and points of discontinuities of the graph of

VA: at x = 1 / Holes at x = -2 / HA at y = 1

A

Define

C

Write a rational function f that has a vertical asymptote at x = 2, a horizontal asymptote y = 2/7 and a zero at x = - 5.

2(x+5) / 7(x-2)

Where is the vertical asymptote of this function?

x = 1

C

Describe the domain of the following function...

All real numbers except x = -2, x= 3

Define the domain and range and asymptotes of the following function...

Domain: R - {-1/2} // Range: R - {3/2} // VA: at x = -1/2 // HA: at y = 3/2

Identefy the domain and range of the function...

Domain: R - {-8} Range: R - {2}

Where are the x-intercepts in the following graph..

x=-2

x=-2/3

x=2

x=4

Answers will vary: f(x)=(x-3)(x+4)/(x+2)(x-5)

Graph the rational function interpreting the Zeros of the function, the holes and the asymptotes.

No Holes / Zeros at x = 2 / VA at x = 1, 3 / HA at y = 0

B

D