Question

HELP ME PLEASE ASAP!!!

2. Use the space provide to respond to each statement concerning the given graph of a radical function.
a.) State the domain of the function.
b.) State the range of the function.
c.) Identify the end behavior of the function.
d.) Identify the y – intercept. Write as an ordered pair.
e.) Explain how you know this function is increasing?

Answer 1

Part a

The domain is the set of x-values, which is
`(-\infty, \infty)`.

Part b

The range is the set of y-values, which is
`(-\infty, \infty)`.

Part c

As
`x \to \infty`,
`y \to \infty`, and as
`x \to -\infty`,
`y \to -\infty`.

Part d

The y-intercept is when x=0, which is
`(0, 1)`.

Part e

The function is increasing when y increases as x increases, which is true for this function.