Question

What is the range of the exponential -(1/3)^x-2 ?

Answer 1

Which do you mean?\[f(x) = -(1/3)^{x-2}\]or\[f(x) = -(1/3)^x-2\]

Answer 2

the first one

Answer 3

when x is negative and large in magnitude say negative infinity

\[f(-\infty) \to -(1/3)^{-\infty-2}\to -(1/3)^{-\infty}\to-(3)^\infty \to -\infty\]

Answer 4

when x is large and positive
\[f(\infty)\to-(1/3)^{\infty-2}\to-(1/3)^\infty\to\]

Answer 5

what does the function trend toward for a large positive input?

Answer 6

0

Answer 7

good,

also
\[f(0)=-(1/3)^{0-2}=-(1/3)^0=-1\]
so the function gives values between negative infinity and zero