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What is the domain of the function graphed below?

X<7
x≤7
-2 all real numbers

What is the domain of the function graphed below? X<7 x≤7 -2 all real numbers-example-1

1 Answer

3 votes

Answer:

x < 7

Explanation:

The domain encompasses all the "x" values (or inputs) of a function.

The arrow on the left line symbolizes that the function continues into the negative region for infinity. As such, this eliminates option C.

Closed dots are points whose "x" values are included in the function. Open-dots are on points whose "x" values are not included in the function. Although the open-dot on the left line at x = -1 generally means it is not included in the function, the closed dot on the right line overrides this. Therefore, x = -1 is in the domain. The value x = 7 is not within the domain of the function due to the open-dot. This eliminates option B and option D.

With this said, the domain of the function is x < 7.

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