Question

Need help with this part a and b and c

Answer 1

Given function is,

`g(x)=\sqrt[3]{(x+7)}`

a) To find the domain of the given function.

Since the function is of cube root function.

Cube root of x is defined in the whole real line.

Hence, the given function is also defined in the whole real number line.

The domain of the function is, (in interval notation)

`(-\infty,\infty)`

b) To find the graph of the given function.

when y=0, we get x=-7.

we get the graph as,

Answer is: option 1.

c) Range of the function.

For the give domain the range is defined for all values we get,

Range of the function g(x) is,

`(-\infty,\infty)`