Question

Find a possible formula for the exponential function in the graph

Answer 1

The exponential equation in the graph is:

y = (1.2)ˣ

How to find the exponential equation?

The general exponential equation is written as:

y = a*bˣ

We can see that we have the point (0, 1), then we can replce these values to get:

1 = a*b⁰

1 = a*1

1 = a

So we have:

y = bˣ

We also can see the point (6, 3) if now we replace these values in the equation, we will get:

3 = b⁶

Solving for b, we will get:

⁶√3 = b

1.2 = b

The exponential equation is:

y = (1.2)ˣ