1 Answer

Thewebjackal · Answer 1 · 2022-05-18T21:31:22+0000

Answer:

The domain and range is (as inequalities):

$x\leq 3\text{ and } -\infty < y < \infty$

Or in interval notation:

$D=(-\infty, 3]\text{ and } R=(-\infty, \infty)$

Explanation:

Recall that the domain is simply the set of all x-values of the function.

From the graph, we can see that the function is defined for all x-values less than or equal to 3.

Therefore, the domain is:

$x\leq 3$

The range is the set of all y-values of the function.

From the graph, we can see that the range will extend infinitely in both directions.

Therefore, the range is all real numbers. As an inequality:

$-\infty < y < \infty$

Or in interval notation, the domain is:

$(-\infty, 3]$

And the range is:

$(-\infty, \infty)$

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