Question

Need help with this. Both these pictures are all one problem. Please help with a b and c

Answer 1

Given:

A function:

`g(x)=√(x+5)`

To find:

a. The domain of the function.

b. Graph of the function.

c. The range of the function.

Solution:

a.

The domain of a function is the set of all x values for which g(x) exists as a real number.

For the given function, x can only take values greater than -5 because if we take x value less than -5, the value in the root becomes negative and g(x) becomes an imaginary number.

Thus, the domain of the function is :

`[-5,\infty)`

b.

The first graph has the required domain.

Thus, the first graph is correct.

c.

From the graph, it is clear that the curve of the function lies above the y-axis. So, the range of the function is :

`[0,\infty)`