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 than or equal to 0.

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

Respuesta :

Answer:

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

y≥0, (TRUE)

Step-by-step explanation:

Given: [tex]f(x)=\sqrt{x}[/tex]

We need to choose correct statement for given function.

Domain: It is input value of x where function is well defined.

Range: It is output value of function.

We are given square root function.

Domain of square root function is all positive real number, x≥0

Range of square root function is all positive real number, y≥0

Option 1: The domain of the graph is all real numbers. (FLASE)

Option 2: The range of the graph is all real numbers.  (FALSE)

Option 3: The domain of the graph is all real numbers less than or equal to 0.  x≤0,  (FALSE)

Option 4: The range of the graph is all real numbers greater than or equal to 0.  y≥0, (TRUE)