Question

find the domain and range. Then use the drop down menu to select the correct symbols to indicate your answer in interval notation. If a number is not an integer then round it to the nearest hundredth. To indicate positive infinifty ( \infty ) type the three letters "inf". To indicate negative infinity(-\infty ) type "-inf" with no spaces between characters.increasing curve starting at (-4,-2) with a closed dot and increasing to positive infinityThe domain is:AnswerAnswer,AnswerAnswerThe range is: AnswerAnswer,AnswerAnswer

Answer 1

The domain of a function can be found by looking at its gaph, and it is the set of all values over the X-axis in which the function is defined.

The range can also be found by looking at the graph of a function, and it is the set of all values over the Y-axis that the function takes when evaluated at points in the domain.

From the given graph, it is not clear whether or not the value of the function is bounded. We will assume that it is not.

Over the X-axis, the function is defined for values of x greater or equal than -4 (as shown in red). Over the Y-axis, the function takes values always greater or equal to -2 (shown in green).

Therefore, the domain of the function, is:

`D=\lbrack-4,\infty)`

And the range of the function, is:

`R=\lbrack-2,\infty)`