Respuesta :

xKelvin

Answer:

A

Step-by-step explanation:

Recall that domain is simply the span of x-values a graph covers.

From the graph, we can see that the graph only covers x-values less than or equal to zero. 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:

[tex]x\leq 0[/tex]

In conclusion, our answer is A.

Answer: Choice A.  [tex]x \le 0[/tex]

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 [tex]-\infty < x \le 0[/tex] but it's easier to say [tex]x \le 0[/tex]

The domain in interval notation would be [tex](-\infty, 0][/tex]. 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.

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