Which graph represents the function f(x)=4⋅3x?

Answer: Bottom right corner (southwest corner)
Explanation:
Plug in x = 0 to find that
[tex]f(x) = 4*3^x\\\\f(0) = 4*3^0\\\\f(0) = 4*1\\\\f(0) = 4\\\\[/tex]
This shows that the y intercept is (0,4).
Of the four answer choices, only the bottom right corner has this y intercept. Note that the curve goes uphill when moving to the right. This function is increasing which matches with f(x) being an increasing function. In other words, f(x) represents exponential growth.