Question

The graph of a quadratic function with vertex (4,-1) is shown in the figure below. Find the domain and rangedomain - range-

Answer 1

Given

Graph of the quadratic function

Find

Domain and range of the function

Explanation

as we see from the graph , function is defined for all value of x ,

so , domain of the quadratic function is all real numbers.

hence ,

$domain=(-\infty,\infty)$

and

as we have given vertex (4 , -1)

which means f(4) = -1 , as we see paraola opens upward so ,

range =

$y\ge b(vertex)$

hence , range =

$y\ge-1$

Final Answer

Hence , the domain is all real numbers and range

$y\ge-1$