Determine whether the given curve is the graph of a function of $x$ . If it is, state the domain and range of the function.
A) Function, domain: $[ 0 , \infty )$ , range: $( - \infty , \infty )$
B) Function, domain: $( - \infty , \infty )$ range: $[ 0 , \infty )$
C) Function, domain: $( 0 , \infty )$ , range: $( - \infty , \infty )$
D) Function, domain: $( - \infty , \infty )$ , range: $( - \infty , \infty )$
E) Not a function

Question

Determine whether the given curve is the graph of a function of $x$ . If it is, state the domain and range of the function. 
A) Function, domain: $[ 0 , \infty )$ , range: $( - \infty , \infty )$ 
B) Function, domain: $( - \infty , \infty )$ range: $[ 0 , \infty )$ 
C) Function, domain: $( 0 , \infty )$ , range: $( - \infty , \infty )$ 
D) Function, domain: $( - \infty , \infty )$ , range: $( - \infty , \infty )$ 
E) Not a function

Quizplus · Accepted Answer

The curve passes the vertical line test, so it is a function. The domain extends from negative infinity to infinity because every x-value has a corresponding y-value on the curve. The range only includes y-values greater than or equal to 0 because there are no points below the x-axis.

Determine Whether the Given Curve Is the Graph of a Function