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Svetlanka [38]
3 years ago
9

If you don’t know the answer or full explanation, then please don’t answer at all. Thank you for helping!

Mathematics
1 answer:
KatRina [158]3 years ago
5 0

Answer:

<em>The domain of the function is (-6,6]</em>

<em>The range of the function is [-12.6)</em>

Step-by-step explanation:

<u>Domain and Range of Real Functions</u>

The domain of a function is the set of all possible inputs for the function.

The Range is the set of values the function takes when x moves into the domain.

If the graph of a real function is given, we can find both by using the rules of the horizontal or vertical lines.

If an imaginary vertical line is moved along the x-axis, it can touch or not the graph of the function. All the values of x where the line and the graph cross each other belong to the domain of the function.

The vertical line crosses the function from x=-6 (not included since there is a hollow dot there) to x=6 (included since there is a solid dot).

Thus, the domain of the function is (-6,6]

Similarly, when an imaginary horizontal line is moved along the y-axis, it touches the function from y=-12 (included) to y=6 (not included).

The range of the function is [-12.6)

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Step-by-step explanation:

See the figure to understand the proof :

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From above eq 1 and 2

c² = (a² - x²) + x² + b² - 2xb

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