Question

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

Answer 1

Answer:

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 :).

Answer 2

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

$y = 2e ^ x$

Then, we evaluate the equation for$x = 0$

$y = 2e ^ 0$

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

So:

$y = 2$

Now we evaluate the equation for x = -1

$y = 2e ^ {-1}\\y = \frac {2} {e}\\y = 0.736$

We already have two points to graph:

$(0,2)\\(-1,0.736)$

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.

Answer:

Option C