Respuesta :
We want to see which one is the graph of f(x) = 5*(2)^x, we will see that the correct option is the first one:
"On a coordinate plane, an exponential growth function approaches y = 0 in the second quadrant and goes through points (0, 5) and (2, 20)."
Finding graphs for exponential equations.
So we have the function:
f(x) = 5*(2)^x
Where the rate is 2, because it is larger than 1, we can see that the function is an exponential growth.
Evaluating the function in x = 0, we get:
f(0) = 5*(2)^0 = 5
So the function passes through the point (0, 5)
You can see that in all the options also points with x-value of 2 are shown, then let's evaluate our function in x = 2.
f(2) = 5*(2)^2 = 5*4 = 20
Then the function also passes through the point (2, 20).
So the correct option is
"On a coordinate plane, an exponential growth function approaches y = 0 in the second quadrant and goes through points (0, 5) and (2, 20)."
If you want to learn more about exponential functions, you can read:
https://brainly.com/question/15352175