SOLUTION: Find the domain and range of the exponential function h(x) = –343^x . As x decreases, does h increase or decrease? Explain. As x increases, does h increase or decrease? Explain

Algebra ->  Functions -> SOLUTION: Find the domain and range of the exponential function h(x) = –343^x . As x decreases, does h increase or decrease? Explain. As x increases, does h increase or decrease? Explain      Log On


   



Question 1022629: Find the domain and range of the exponential function h(x) = –343^x .
As x decreases, does h increase or decrease? Explain.
As x increases, does h increase or decrease? Explain.

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
Domain is all real numbers
Range is h(x) < 0
:
h'(x) = -343^x * log(343)
:
as x decreases, h increases and its limit as x approaches -infinity is 0
:
as x increases, h decreases