Which function has a range of y < 3?
a. y=3(2)^x
b. y=2(3)^x
c. y=-(2)^x+3
d. y=(2^x)-3

Using a graphing tool

Let's graph each of the cases to determine the solution of the problem

case A)  

see the attached figure N

The range is the interval--------> (0,∞)

therefore

the function is not the solution

case B)

see the attached figure N  

The range is the interval--------> (0,∞)

therefore

the function is not the solution

case C)  

see the attached figure N    

The range is the interval--------> (-∞,3)  

therefore

the function      is the solution

case D)  

see the attached figure N  

The range is the interval--------> (-3,∞)  

therefore

the function is not the solution

the answer is

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.