Question

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

Answer 1

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 $\{x:x\geq 0\}.$

Answer 2

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.