Answer:
Graph F best represents the function.
The correct graph F is also attached below.
Explanation:
Given the function
f(x) = 2(5)ˣ
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
so substituting x = 0 in the function
y = 2(5)ˣ
y = 2(5)⁰
y = 2(1) ∵ (5)⁰ = 1
y = 2
Thus, the y-intercept is (0, 2)
Let us check another point
now substitute x = 1
y = 2(5)ˣ
y = 2(5)¹
y = 10
Thus, the value of y = 10 at x = 1
So, we have to two points:
Now, if we carefully observe, we can easily figure out that the graph F represents the function f(x) = 2(5)ˣ.
Because the graph F has a y-intercept (0, 2) and also the point (1, 10) is validating the graph.
Therefore, graph F best represents the function.
The correct graph F is also attached below.