Question

Write the function of the graph

Answer 1

Option A: f(x) = 4 * 2^x

Explanation:

4 because it is the y intercept.

2 because if you see point (1,8), yousee the 8 = 4 * a^1 where a = 2

If you need more explanation, please comment below.

Thank you!!

Answer 2

A.
`f(x)=4\cdot (2)^x`

Explanation:

We have been given graph of a function. We are asked to write the function formula from given graph.

We can see that our given function is an exponential function, so it will be in form
`y=a\cdot b^x`, where,

a = Initial value or y-intercept,

b = Growth rate.

We can see that y-intercept is 4.

Now, we will solve for b using the point (1,8) as:

`8=4\cdot b^1`

`8=4\cdot b`

`(8)/(4)=(4\cdot b)/(4)`

`2=b`

Therefore, our required function would be
`f(x)=4\cdot (2)^x` and option A is the correct choice.