Question

The graph of a quadratic function with vertex (3,2) is shown in the figure below. Write the domain and range using interval notation.

Answer 1

The domain of a function is the set of possible x-values that the function can take, and the range is the set of possible y-values that the function will have.

As can be seen in the graph, as the function increase to the left the x-values will approach to -infinite and as it increases to the right, the x-values will approach to +infinite, then the domain is:

`(-\infty,\infty)`

The vertex of the function is located at (3,2) then, the y-values start at 2, and increase infinitely, then the range is:

`\lbrack2,\infty)`