Question

Which statements describe the domain and range of g(x)? Check all that apply.

The function g(x) is defined for all real numbers x.
The maximum value of the range is 4.
The maximum value of the domain is 3.
The range of g(x) is {y| –1 < y ≤ 4}.
The domain of g(x) is {x| –4 < x ≤ 3}.

Answer 1

Answer:

Domain of g(x) =  -4<x<-1 &  0 < x < 3

Range of g(x)  = –1 ≤ y ≤ 4  

Step-by-step explanation:

as per graph

Domain of g(x) =  -4<x<-1 &  0 < x < 3

The maximum value of the domain is 3 is right statement  but not complete statement .

The domain of g(x) is {x| –4 < x ≤ 3}.  is not correct as domain of g(x) does not lie between    -1 &  0 .

Range of g(x)  = –1 ≤ y ≤ 4  

The range of g(x) is {y| –1 < y ≤ 4}. misses equal to sign with - 1

The maximum value of the range is 4 is correct statement but not complete statement as it does not define minimum value