Question

I need the domain and range of this and it has to be written in interval notation.Please help.

Answer 1

Domain is [-1, 4).

Range is [-4, 5].

Explanation:

Note: at the end points, a filled circle means the value of x and g are included and a clear circle means the value is not included, in the domain/range.

The domain is the possible values of x or [-1, 4).

The range is the possible values of g = [-4, 5].

Answer 2

The domain is [-1, 4) and the range is [-4, 5].

Explanation:

Consider the provided graph.

Domain: The domain is the set of input values which a function can take, or the domain is the set of all possible x values.

Range: Range is the set of output value produce by the function, or the range is the set of all possible y values.

Now consider the provided graph.

From the graph it is clear that the value of x lying between -1 to 4.

Thus the domain consists all the numbers between -1 to 4.

Remember: at x=-1 there is a closed dot that means -1 is in the domain but at x=4 there is an open dot which means 4 is not in the domain.

So, the domain is -1≤x<4 or in the interval notation [-1, 4).

Now find the range of the function.

From the graph it is clear that the value of y lying between -4 to 5.

Thus, the range consists all the numbers from -4 to 5.

So, the range is -4≤y≤5 or in the interval notation [-4, 5].