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Help! need help with the asymptotes and domain and range! State the domain and r

ID: 2911977 • Letter: H

Question

Help! need help with the asymptotes and domain and range!

State the domain and range. Use a graphing device to confirm your answer. (Enter your answers using interval notation.)

3. 0.42/1 points | Previous Answers SPreCalc? 3.6.044.MI. Find the intercepts and asymptotes. (If an answer does not exist, enter DNE. Enter your asymptotes as a comma-separated list of equations if necessary.) 3x 12 -12x 4 x-intercept y-intercept vertical asymptote(s) horizontal asymptote Sketch a graph of the rational function (x, y) = ( | 0.3 x 0.3X State the domain and range. Use a graphing device to confirm your answer. (Enter your answers using interval notation.) domain ange Need Help?e

Explanation / Answer

Vertical asymptote, -12x+4=0

12x=4

x=1/3

Horizontal asymptote

Numerator's degree=denominator's degree

So horizontal asymptote, y is the ratio of numerator leading coefficient and denominator leading coefficient

y=3/-12 =-1/4

Domain

There is a vertical asymptote at x=1/3

SO domain (-infinity,1/3)U(1/3, infiniity)

Range, there is a horizontal asymptote at y=-1/4

So range is (-infinity,-1/4)U(-1/4, infinity)

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