Question

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

Answer 1

Bottom right choice


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Answer 2

Answer: Bottom right corner (southwest corner)

Explanation:

Plug in x = 0 to find that

$f(x) = 4*3^x\\\\f(0) = 4*3^0\\\\f(0) = 4*1\\\\f(0) = 4$

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.