Question

what is the range and asymptote of exponential function f(x)=-3^x?

Answer 1

To find horizontal asymptotes we have to ask what the function will equal when x is very large ie infinity or negative infinity. Exponential functions of X^(neg infinity)=0. Will this go to negative infinity and will it go to positive infinity? Are there any restrictions ie can we take the square root of a negative number?

Answer 2

The more I think about it is this actually -(3)^x. I took it as (-3)^x If it is -(3)^x
then this is simple. You should be able to find the horizontal asymptote and to find your range ask yourself the question......Will this ever be positive?

Answer 3

SO.
i figured out as x > +inf y goes to -inf, so the range would be (0,-inf)?
@benzilla

Answer 4

Yes that is correct.