SOLUTION: Write an equation for a rational function with: Vertical asymptotes at x = −4 and x = −2 x intercepts at (−6,0) and (−3,0) y intercept at (0,3)

Algebra.Com
Question 1178199: Write an equation for a rational function with:
Vertical asymptotes at x = −4 and x = −2

x intercepts at (−6,0) and (−3,0)
y intercept at (0,3)

Answer by greenestamps(13206)   (Show Source): You can put this solution on YOUR website!


Vertical asymptotes at x = −4 and x = −2:

Factors of (x+4) and (x+2) in the denominator

x intercepts at (−6,0) and (−3,0):

Factors of (x+6) and (x+3) in the numerator

So the equation is of the form


y intercept at (0,3):

Solve f(0)=3 to find the constant factor a






ANSWER:




RELATED QUESTIONS

Write an equation for a rational function with: Vertical asymptotes at x = 3 and x = -1 (answered by greenestamps)
Write an equation for a rational function with: Vertical asymptotes at x = -1 and x =... (answered by josgarithmetic)
Write an equation for a rational function with the given characteristics. Vertical... (answered by ikleyn)
Please help and show all steps. Thanks Write an equation for a rational function with: (answered by josgarithmetic)
Write an equation for a rational function with: Vertical asymptotes at x = -6 and x =... (answered by greenestamps,MathLover1)
Write an equation for a rational function with: Vertical asymptotes at x = -6 and x =... (answered by ikleyn)
Write an equation for a rational function with: Vertical asymptotes at x = -6 and x =... (answered by ikleyn)
Write an equation for a rational function with vertical asymptotes at x=-5 and x=6 x... (answered by ikleyn,MathLover1)
Write an equation for a rational function with: Vertical asymptotes at x = -1 and x =... (answered by greenestamps,Solver92311)