Question

Which of the following is equal to g(x)?

Answer 1

Option A

Explanation:

As you can see on the y axis at 0, it intercepts at 0.333, this shows that the first option is the most viable as it is the only equation that would cause the graph to intercept at that point. B and C would intercept at 1 (don't forget that anything to the power of 0 is one):

Put 0 into equation B:

`2^{(1)/(3)0 }` =
`2^(0)` = 1

So at x = 0, y = 1.

The same happens for option C.

For option D, the y intercept at x = 0 would be 3:

3 *
`2^(x)` = 3 *
`2^(0)`

=
`3 * 1 = 3`

Hope this helps!