205k views
1 vote
Consider the function represented by the graph. What is the domain of this function

Consider the function represented by the graph. What is the domain of this function-example-1

2 Answers

6 votes
The end of the ray stops the x values from proceeding left at x=0. So your domain is from that point on to infinity. In your solution set x >= 0, since the arrow continues on the right side where x's are positive.
User Romanb
by
8.2k points
4 votes

Answer: The answer is
\{x:x\geq 0\}.

Step-by-step explanation: We are given a graph that represents a function. We are to find the domain of the graphed function.

Domain and Range: If y=f(x) is a function, then the domain is the set of all first elements of ordered pairs (x-coordinates) and the range is the set of all second elements of ordered pairs (y-coordinates).

In the given graph, 'x' takes the values from 0 to infinity and 'y' takes the values from negative infinity to 9.

Therefore, domain of the function is [0, ∞) and the range is (-∞, 9).

Thus, the domain is given by the set
\{x:x\geq 0\}.

User Pietro Nadalini
by
8.7k points