By analyzing the graph and the y-intercept, we can conclude that the graphed function is:
f(x) = e^x
How to identify the graphed function?
In the graph, we can see an exponential growth, such that it intercepts the y-axis at x = 1.
Remember that exponential growth is slow at the beginning and faster as x grows, while a logarithmic increase is fast at the beginning and then becomes slower. That is why we know this is an exponential growth.
Now, notice that when x = 0 we can see that the function intercepts the y-axis at y = 1, then we can conclude that this is just the exponential function, because:
f(0) = e^0 = 1
So we can conclude that the function is e^x.
If you want to learn more about exponential functions, you can read:
https://brainly.com/question/11464095
