Math  /  Geometry

QuestionQuestion
Determine the domain of the following graph: Answer Attempt 1 out of 2

Studdy Solution

STEP 1

What is this asking? Find all the xx-values where the graph exists, from start to end. Watch out! Don't include the endpoints where the circles are open!

STEP 2

1. Identify the starting point
2. Identify the ending point
3. Determine the domain

STEP 3

Alright, let's get started!
The graph begins at an open circle on the left side.
This means the graph doesn't include this point, but it tells us where the graph starts.
The open circle is at approximately x=8x = -8. **Remember**, open circles mean "not included" in math-speak!

STEP 4

Now, let's slide on over to the right side of the graph.
We see another open circle at approximately x=9x = 9.
Just like before, this open circle means the graph stops just before this point.
So, **again**, it's not included in the domain.

STEP 5

Now that we've got our starting and ending points, let's put it all together!
The domain is all the xx-values where the graph exists.
Since both endpoints are open circles, we use parentheses to show they're not included.
So, the domain is (8,9)(-8, 9). **Boom!** That's the range of xx-values where the graph lives!

STEP 6

The domain of the graph is (8,9)(-8, 9).

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