Problem 2.docx

PROBLEM #2 1. 𝑝(𝑥) =

3 𝑥−4

SOLUTION: 

DOMAIN 𝑥−4=0 𝑥=4 = {𝑥|𝑥𝜖ℜ\4}



X-INTERCEPT 𝑁𝑂 𝑋 − 𝐼𝑁𝑇𝐸𝑅𝐶𝐸𝑃𝑇 (0,0)



Y-INTERCEPT 3 3 =− 0−4 4 3 = (0, − ) 𝑜𝑟(0, −0.75) 4



VERTICAL ASYMPTOTE 𝑥−4=0 𝑥=4



HORIZONTAL ASYMPTOTE 𝑛<𝑚 𝑥 − 𝑎𝑥𝑖𝑠 𝑜𝑟 𝑦 = 0

3𝑥 2

2. 𝑞(𝑥) = 𝑥 2 −4

3 =3 1 𝑦=3

SOLUTION: 

DOMAIN 𝑥2 − 4 (𝑥 − 2)(𝑥 + 2) 𝑥−2=0 𝑥=2 𝑥+2=0 𝑥 = −2 = {𝑥|𝑥𝜖ℜ\−2,2}



X-INTERCEPT 𝑁𝑂 𝑋 − 𝐼𝑁𝑇𝐸𝑅𝐶𝐸𝑃𝑇 (0,0)



Y-INTERCEPT 3(0)2 (0)2 − 4 = (0,0)



VERTICAL ASYMPTOTE 𝑥2 − 4 (𝑥 − 2)(𝑥 + 2) 𝑥−2=0 𝑥=2 𝑥+2=0 𝑥 = −2 𝑥 = −2 𝑎𝑛𝑑 𝑥 = 2



HORIZONTAL ASYMPTOTE

3. 𝑟(𝑥) =

−3𝑥 2 𝑥+4

SOLUTION: 

DOMAIN 𝑥+4=0 𝑥 = −4 = {𝑥|𝑥𝜖ℜ − 4}



X-INTERCEPT 𝑁𝑂 𝑋 − 𝐼𝑁𝑇𝐸𝑅𝐶𝐸𝑃𝑇 (0,0)



Y-INTERCEPT −3(0)2 =0 0+4 = (0,0)



VERTICAL ASYMPTOTE 𝑥+4=0 𝑥 = −4



HORIZONTAL ASYMPTOTE 𝑛>𝑚 𝑁𝑂 𝐻. 𝐴.

−3

𝑥 = −2 𝑎𝑛𝑑 𝑥 = 2

4. 𝑟(𝑥) = 𝑥 2 −4 

SOLUTION: 

DOMAIN 𝑥2 − 4 (𝑥 − 2)(𝑥 + 2) 𝑥−2=0 𝑥=2 𝑥+2=0 𝑥 = −2 = {𝑥|𝑥𝜖ℜ\−2,2}



X-INTERCEPT 𝑁𝑂 𝑋 − 𝐼𝑁𝑇𝐸𝑅𝐶𝐸𝑃𝑇 (0,0)



Y-INTERCEPT −3 3 = 𝑜𝑟 0.75 2 (0) − 4 4 3 = (0, ) 𝑜𝑟 (0,0.75) 4



VERTICAL ASYMPTOTE 𝑥2 − 4 (𝑥 − 2)(𝑥 + 2) 𝑥−2=0 𝑥=2 𝑥+2=0 𝑥 = −2

HORIZONTAL ASYMPTOTE 𝑛<𝑚 𝑦 − 𝑎𝑥𝑖𝑠 𝑜𝑟 𝑦 = 0

STUDENT ANSWERED: 1. 2. 3. 4.

A C B D

ACTUAL ANSWERS: 1. 2. 3. 4.

B A D C

WTH HINDI NAG-ARAL ITONG STUDENT NA ITO OHMYGHAD ANG HIRAP MAGCHECK PALA TALAGA HAHAHAHA

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