Which of the following shows the graph of y=2e^x?

The third one.

Step-by-step explanation:

When x=0, the function y=2e^x equals:

y=2e^x = 2e^(0) = 2.

For that reason, the graph should cross the y-axis at the point (0, 2). The only graph that meets this requirement is the third one :).

For this case we must indicate the graph corresponding to the following equation:

Then, we evaluate the equation for

We have by definition, any number raised to zero results in 1.

So:

Now we evaluate the equation for x = -1

We already have two points to graph:

Observing the options, we realize that the correct option is option C.

It should be noted that graphs A and D, by definition, do not correspond to the exponential function.

Option C

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