Question

Write the function of the graph

Answer 1

Answer:

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

Step-by-step 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

Answer:

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

Step-by-step 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:

$8=4\cdot b^1$

$8=4\cdot b$

$\frac{8}{4}=\frac{4\cdot b}{4}$

$2=b$

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