Question

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

Explain your findings.
As x decreases, does h increase or decrease? Explain.
As x increases, does h increase or decrease? Explain.

Answer 1

Explanation:

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

Explanation:

Answer 2

Explanation:

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