Find the domain and range of the quadratic function whose graph is described.
-The vertex is $( 1,0 )$ and the graph opens down.
A) Domain: $( - \infty , 1 ]$
Range: $( - \infty , 0 ]$
B) Domain: $( - \infty , \infty )$
Range: $[ 0 , \infty )$
C) Domain: $( - \infty , \infty )$
Range: $( - \infty , 1 ]$
D) Domain: $( - \infty , \infty )$
Range: $( - \infty , 0 ]$

Question

Quizplus · Accepted Answer

The domain of any quadratic function is all real numbers, $( - \infty , \infty )$, because you can input any real number into the function. Since the graph opens down and the vertex is the highest point, the range is all real numbers less than or equal to the y-coordinate of the vertex, hence $( - \infty , 0 ]$.

Find the Domain and Range of the Quadratic Function Whose (1,0)( 1,0 )(1,0)

Find the Domain and Range of the Quadratic Function Whose $( 1,0 )$