Question

Which option below shows the graph of the function g(x) = (0.20)2 x ?

Answer 1

The first/selected graph matches g(x)=0.2*2^x

Answer 2

Option 1

Explanation:

Given : The function
`g(x)=(0.20)2^x`

To find : Which option below shows the graph of the given function ?

Solution :

We know that,

The y-intercept of a function is the value of y when the value of x is equal to zero.

Substitute x=0 in the given function,

`g(0)=(0.20)2^0`

`g(0)=0.20`

This shows that graph is passing through the point (0,0.20).

In the following options on graph 1 the point passes through the point.

Therefore, Option 1 is correct.

Refer the attached figure.