Question

Which graph represents the function f(x)=2·4^x?

Answer 1

A (top left)

Explanation:

Assuming that the dot is multiplying the numbers, we get the function:

`f(x) = 8^(x)`

First, lets knock off the obviously wrong answers.

Substitute 0 into the x spot, as anything to the power of zero is one.

`f(0) = 8^(0)=1`

Automatically, the two answers on the right are incorrect, as y is not equal to 1 when x is 0.

Next, lets substitute 1 into the x spot, as anything to the power of one is itself.

`f(1) = 8^(1) = 8`

As a result, the top left graph is correct, as y is equal to 8 when x is 1, unlike the bottom left graph.