Question

What is the range of the function y = e Superscript 4 x

y less-than 0
y greater-than 0
y less-than 4
y greater-than 4
Mark

Answer 1

Second option:
`y>0`

Explanation:

The given function is

`y=e^(4x)`

Remember that the range is the set formed by y-values, that is, the dependent variable elements.

If you think this through, you would deduct that a power cannot be equal to zero or a negative number. All powers are always positive and greater than zero, because the least power that can exist is equal to one, which is
`x^(0)=1`.

Therefore, the right answer is
`y>0`, because that's the restriction of exponential expression by definition.