Question

What is the domain? What is the range?

Answer 1

Given:

The graph of a function.

To find:

The domain and range of the graphed function in the interval notation.

Solution:

Domain: The set of x-values or input values is called domain.

Range: The set of y-values or output values is called range.

The given graph is divided into three pieces, first line, second parabola and third is again line. But the function is continuous.

The graph is defined for all values of x. So,

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

Therefore, the correct option is A.

The maximum value of the function is 4 and the graph approaches in the negative direction from both sides. So,

$Range=(-\infty,4]$

Therefore, the correct option is B.