Determine the domain and range of the graph of the function $g ( x ) = x ^ { 3 } - 5$ .
A)The domain is all real numbers x such that $x \geq 0$ . The range is all real numbers y .
B)The domain is all real numbers x such that $x \geq - 5$ . The range is all real numbers y .
C)The domain is all real numbers x such that $x \leq 0$ . The range is all real numbers y such that $y \geq - 5$ .
D)The domain is all real numbers x . The range is all real numbers y such that $y \geq - 5$ .
E)The domain is all real numbers x . The range is all real numbers y .

Question

Determine the domain and range of the graph of the function $g ( x ) = x ^ { 3 } - 5$ . 
A)The domain is all real numbers x such that $x \geq 0$ . The range is all real numbers y . 
B)The domain is all real numbers x such that $x \geq - 5$ . The range is all real numbers y . 
C)The domain is all real numbers x such that $x \leq 0$ . The range is all real numbers y such that $y \geq - 5$ . 
D)The domain is all real numbers x . The range is all real numbers y such that $y \geq - 5$ . 
E)The domain is all real numbers x . The range is all real numbers y .

Quizplus · Accepted Answer

The function is a cubic function with no restrictions on the domain or range, so the domain is all real numbers x and the range is all real numbers y.

Determine the Domain and Range of the Graph of the Function