~is m(x)=0.3x (but the x is exponent) increasing or decreasing Please help and explain math

Question

asked Sep 19, 2020 52.9k views

1 Answer

Robroc · Answer 1 · 2020-09-24T04:07:32+0000

Decreasing

In this problem, we have the following function:

m(x)=0.3^x

This is an exponential function. This type of function is given in the form:

$f(x)=ab^x \\ \\ Where \ a \ is \ any \ real \ number \\ \\ and \ b > 0$

In this case:

$a=1 \ and \ b=0.3$

Given that:

$a>0 \ and \\ \\ 0<b<1$

Then, the function is decreasing. The graph is shown below.