# Y=2(3^x)-1 domain, range?

by aisha
Tags: domain, range, y23x1
 P: 587 I was given the equation y=2(3^x)-1 and told to state the domain, range, x and y intercepts and asymptotes. I graphed the eqn and got the x-intercept to =-0.63 and the y-intercept=1 the vertical asymptote is the same as x-intercept so =-0.63 and the horizontal asymptote always equals 0. If these values are right, then I need to find out the domain and range, but I dont know how. Can someone please help me?
HW Helper
P: 11,952
 Quote by aisha I was given the equation y=2(3^x)-1 and told to state the domain, range, x and y intercepts and asymptotes. I graphed the eqn and got the x-intercept to =-0.63 and the y-intercept=1 the vertical asymptote is the same as x-intercept so =-0.63 and the horizontal asymptote always equals 0. If these values are right, then I need to find out the domain and range, but I dont know how. Can someone please help me?

Me again,...This time i say to review calculations.
Hints:1)Do u agree with me that the domain in the entire real axis and the range the open interval (-1,+infinity)??
2)Use the correct definitions of veritical/horizontal asymptotes.
3) Solve the equations for the intersections correctly.

PS I assumed that your initial function was $y=2\cdot 3^{x} -1$.

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