Question

Find the domain and range of the exponential function h(x)= -343^x.

Answer 1

Answer:

Domain -∞ < x < +∞ and range y < 0.

As x increases h(x) decreases and as x decreases h(x) increases.

Step-by-step explanation:

The given function is $h(x) = - (343)^{x}$.

Now, the domain of the function is -∞ < x < +∞.

And the range of the function is y < 0 since h can not be positive and zero for any value of x.

Now, h(x) decreases as x increases.

For, x = 1 to x = 2, x value increases but $- 343 > - (343)^{2}$, h value decreases.

Again, x = -2 to - 1, x value increases but $\frac{- 1}{(343)^{2}} > \frac{- 1}{343}$, h value decreases.

Similarly, as x decreases h(x) increases. (Answer)