Question

In the graph shown, suppose that f(x) = ax, g(x) = bx, and h(x) = cx. Choose the true statement.

A)
c < a < b


B)
a < c < b


C)
b < c < a


D)
c < b < a

Answer 1

Option D) c < b < a

Explanation:

The picture of the question in the attached figure

we have

`f(x)=a^x`

`g(x)=b^x`

`h(x)=c^x`

For x=1

substitute

`f(x)=a^1=a`

`g(x)=b^1=b`

`h(x)=c^1=c`

see the attached figure to better understand the problem

so

`a>b>c`

Rewrite

`c<b<a`