# Which Function Has A Range Of Y < 3?

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## Question

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

Answer:The correct option is C.Step-by-step explanation:If a function is defined aswhere, a>0, then the range of the function is greater than 0.               …. (1)Option A: Using inequity (1),Multiply both side by 3.The range of first function is y>0. Therefore option A is incorrect.Option B: Using inequity (1),Multiply both side by 2.The range of second function is y>0. Therefore option B is incorrect.Option C: Using inequity (1),Multiply both side by -1.                    Add 3 on both the sides.The range of first function is y<3. Therefore option C is correct.Option D: Using inequity (1),Subtract 3 from both the sides.The range of second function is y>-3. Therefore option D is incorrect.

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