Question

PLEASE HELP!! Find the domain of the graphed function.

Answer 1

Answer: Choice A.  $x \le 0$

x can be any number smaller than 0, or it can be equal to 0 itself.

This is because the furthest to the right we can go is at x = 0. This endpoint is included due to the filled in circle at the endpoint.

There is no left boundary, so the graph goes on forever toward negative infinity.

We can say $-\infty < x \le 0$ but it's easier to say $x \le 0$

The domain in interval notation would be $(-\infty, 0]$. The square bracket says "include this endpoint". The curved parenthesis means "exclude this endpoint". We cannot reach either infinity, so we always use a curved parenthesis with either infinity.

As implied, the domain is the set of all possible x values of a function. The range is the set of all possible y values.

Answer 2

Answer:

A

Step-by-step explanation:

The domain is the span of x-values a graph covers.

From the graph, we can see that the graph only covers the x-values less than or equal to 0. Our x-values never cross and go beyond x=0.

Therefore, our domain is all values less than or equal to 0.

As an inequality, this is:

$x\leq 0$

So, our answer is A.

And we're done!