Question

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

Answer 1

Answer:

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

Step-by-step 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)