SOLUTION: Write an equation for a rational function with:
Vertical asymptotes at x = -1 and x = 3
x-intercepts at x = -5 and x = -4
y-intercept at 7
y =
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Question 1188026: Write an equation for a rational function with:
Vertical asymptotes at x = -1 and x = 3
x-intercepts at x = -5 and x = -4
y-intercept at 7
y =
Found 2 solutions by greenestamps, Solver92311:
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
Write an equation for a rational function with:
(1) Vertical asymptotes at x = -1 and x = 3: factors of (x+1) and (x-3) in the denominator
(2) x-intercepts at x = -5 and x = -4: factors of (x+5) and (x+4) in the numerator
(3) y-intercept at 7: f(0)=7
The function is of the form
Finish finding the function by knowing f(0)=7:
The function is
Answer by Solver92311(821) (Show Source): You can put this solution on YOUR website!
If a rational function has a vertical asymptote at 
, then the denominator of the function has a factor of 
. The desired function then must have factors of 
and 
in the denominator.
If a rational function has a zero at 
, then the numerator of the function has a factor of 
. The desired function must have factors of 
and 
in the numerator.
If a rational function has a 
-intercept of 
, then the function must have a scaling factor 
such that \ =\ y_o)
(x\,-\,4)}{(x\,+\,1)(x\,-\,3)}\))
Substitute zero for 
and set the result equal to 7. Then solve for to find your final function.
John
My calculator said it, I believe it, that settles it
From
I > Ø
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