Determine the domain and the range of the function.
-$$f ( x ) = x ^ { 2 } - 2 x - 8$$
A) domain: all real numbers
range: all real numbers

B) domain: $\{ x \mid x \geq - 1 \}$
range: $\{ y \mid y \geq - 9 \}$

C) domain: all real numbers
range: $\{ y \mid y \geq - 9 \}$

D) domain: all real numbers
range: $\{ \mathrm { y } \mid \mathrm { y } \leq 9 \}$

Question

Determine the domain and the range of the function.
-$$f ( x ) = x ^ { 2 } - 2 x - 8$$
A) domain: all real numbers
range: all real numbers

B) domain: $\{ x \mid x \geq - 1 \}$  
range: $\{ y \mid y \geq - 9 \}$

C) domain: all real numbers
 range: $\{ y \mid y \geq - 9 \}$

D) domain: all real numbers 
range: $\{ \mathrm { y } \mid \mathrm { y } \leq 9 \}$

Quizplus · Accepted Answer

The domain of a quadratic function is all real numbers. The range is determined by the vertex of the parabola, which is the minimum point for this upward-opening parabola. The vertex is at (-1, -9), so the range is $y \geq -9$.

Determine the Domain and the Range of the Function f(x)=x2−2x−8f ( x ) = x ^ { 2 } - 2 x - 8f(x)=x2−2x−8

Determine the Domain and the Range of the Function $f ( x ) = x ^ { 2 } - 2 x - 8$