174k views
4 votes
Which statement is true about the function f(x)= √x

The domain of the graph is all real numbers
The range of the graph is all real numbers
The domain of the graph is all real numbers less then or equal to 0
The range of the graph is all real numbers greater than or equal to 0

2 Answers

5 votes

Hello from MrBillDoesMath!

Answer:

See Discussion below.

Discussion:

Let's look at the given statements:


1. The domain of the graph is all real numbers

Answer: False as sqrt(x) is only defined for x > =0


2. The range of the graph is all real numbers

Answer: False as the range of f is the set of positive real numbers and 0


3. The domain of the graph is all real numbers less then or equal to 0

Answer: False as the domain of sqrt(x) does NOT include negative numbers (at least for real-valued functions)


4. The range of the graph is all real numbers greater than or equal to 0

Answer: True. By definition the sqrt(x) is the positive square root of x (and 0 as well)

Thank you,

MrB

User Ankita Shah
by
8.2k points
0 votes

Answer:

Explanation:

D

User Tim Bunce
by
7.7k points

No related questions found