Question

Which function has a range of y < 3?
y=3(2)*
y=2(3)
y=-(2)*+ 3
O y=(2]*_3

Answer 1

The function given by
`y = - (2)^(x) + 3` will have a range of y < 3.

Explanation:

The function given by
`y = - (2)^(x) + 3` will have a range of y < 3.

This is because, for any real values of x, the term
`- (2)^(x)` will have a negative value. If we put x = 1, then,
`- (2)^(x)` = - 2, and for x = -1, then
`- (2)^(x)` = - 0.5.

That means
`- (2)^(x) < 0` for all real x.

Hence,
`- (2)^(x) + 3` < 0 + 3

⇒ y < 3 for all real x. (Answer)