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jarptica [38.1K]
3 years ago
12

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

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
7 0

option C is correct.

<u>Step-by-step explanation:</u>

If a function is defined as

f(x)=a^x where, a>0, then the range of the function is greater than 0.

a^x>0               .... (1)

Option A: Using inequity (1),

2^x>0

Multiply both side by 3.

3(2^x)>0

The range of first function is y>0. Therefore option A is incorrect.

Option B: Using inequity (1),

3^x>0

Multiply both side by 2.

2(3^x)>0

The range of second function is y>0. Therefore option B is incorrect.

Option C: Using inequity (1),

2^x>0

Multiply both side by -1.

-2^x

Add 3 on both the sides.

-2^x+3

y

The range of first function is y<3. Therefore option C is correct.

Option D: Using inequity (1),

2^x>0

Subtract 3 from both the sides.

2^x-3>-3

y>-3

The range of second function is y>-3. Therefore option D is incorrect.

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