What are the domain and range of the function below?

Question

asked Dec 10, 2019 213k views

2 Answers

Cmlonder · Answer 1 · 2019-12-13T08:08:07+0000

Answer:

$Domain=[0,\infty)$

$Range=(-\infty,4]$

Explanation:

We need to find the domain and range of the function.

Domain : It is the set of input values or x values. In a graph, domain of the function represented by the x-axis.

Range : It is the set of output values or y values. In a graph, range of the function represented by the y-axis.

From the given graph it is clear that it is defined for
$0\le x<\infty$ and
$-\infty <y\le 4$ .

We have closed circle at (0,4). It means, 0 is included in the domain and 4 is included in the range.

$Domain=[0,\infty)$

$Range=(-\infty,4]$

Therefore,
$Domain=[0,\infty)$ and
$Range=(-\infty,4]$ .

James McCracken · Answer 2 · 2019-12-15T18:31:34+0000

Answer:

Domain ={0,infinity)

Range = (-infinity, 4]

Explanation:

Given a graph with curve which has y intercept 4.

It passes x axis at 4 and extends fully

The domain is the set of values x can take

In the graph horizontal axis is x axis.

Hence from the graph we see that x can take values from 4 including 4 upto infinity.

Hence domain is x>=4

For range, we consider the values of y as per graph.

WE find that y is not taking values >4

Hence Range = (-infty, 4]