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

Hello from MrBillDoesMath!

See Discussion below.

Discussion:

Let's look at the given statements:

1. The domain of the graph is all real numbers

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

2. The range of the graph is all real numbers

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

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

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

Thank you,

MrB