213k views
0 votes
What are the domain and range of the function below?

What are the domain and range of the function below?-example-1

2 Answers

3 votes

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].

User Cmlonder
by
8.0k points
3 votes

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]


User James McCracken
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories