Which statements describe the domain and range of g(x)? Select two options. The function g(x) is defined for all real numbers x.

Question

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Which statements describe the domain and range of g(x)? Select two options. 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}.

Mathematics

2 answers:

Dmitry_Shevchenko [17] · Answer 1 · 2022-12-08T06:11:28+03:00

Answer:

The correct two options are:

The maximum value of the range is 4.

The range of g(x) is {y| –1 < y ≤ 4}.

Step-by-step explanation:

The missing diagram is attached in the image below:

It is pertinent to understand that the domain is the set of all possible mathematical points where a given function is defined. In the diagram attached below, the domain relates to all possible values of x.

The range relates to all possible values of y.

From the graphical diagram;

The domain is (-4 ≤ x ≤ -1 and 0 ≤ x < 3); &

The range is -1 < y ≤ 4.

We could see from the graph as well that, the maximum value of the range extends from -1 to 4 which indicates that the largest possible value is 4.