Write an equation for a rational function with: Vertical asymptotes at x = 4 and x = -2 x-intercepts at x = -6 and x = -1 Horizontal asymptote at y = 6

Step-by-step explanation:

The vertical asymptotes correspond to points where denominator is equalized to zero. Whereas, x-intercepts corresponds to points where numerator is equalized to zero. Lastly, the horizontal asymptote corresponds to the limit of the function when x diverges to plus or minus infinity. Then, the rational equation is:

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.

quit

step-by-step explanation: