Find the Domain and Range f(x)=9-x^2

Math
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
Set-Builder Notation:
Locate the vertex of the parabola.
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Rewrite the equation in vertex form.
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Reorder and .
Complete the square for .
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Use the form , to find the values of , , and .
Consider the vertex form of a parabola.
Substitute the values of and into the formula .
Simplify the right side.
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Cancel the common factor of and .
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Factor out of .
Move the negative one from the denominator of .
Simplify the expression.
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Rewrite as .
Multiply by .
Find the value of using the formula .
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Simplify each term.
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Raising to any positive power yields .
Multiply by .
Divide by .
Multiply by .
Add and .
Substitute the values of , , and into the vertex form .
Set equal to the new right side.
Use the vertex form, , to determine the values of , , and .
Since the value of is negative, the parabola opens down.
Opens Down
Find the vertex .
The range of a parabola that opens down starts at its vertex and extends to negative infinity.
Interval Notation:
Set-Builder Notation:
Determine the domain and range.
Domain:
Range:
Find the Domain and Range f(x)=9-x^2

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