Find the Range of this function.

Question

07-03-2022
Mathematics

Answered

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Find the Range of this function.

Sagot :

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chetankachana chetankachana · Answer 1 · 2022-03-07T20:39:32-05:00

Answer:

y ≥ -6

Step-by-step explanation:

Hello!

The domain is the interval in which the graph is located vertically on the coordinate plane.

The range is the interval in which the graph is located horizontally on the graph.

Since we are finding the range of the graph, we draw a horizontal line at the lowest point of that graph. We can see that the line is y=-6 because the lowest point given by that horizontal line is -6.

Now that we know that it is the lowest point, we must find the highest point of the graph. Looking at it, we can see that it goes infinitely up, or it continues above -6. This means that the graph hits every horizontal line above -6, or all the values above -6.

The interval would be -6 ≤ y ≤ ∞ (greater than or equal to sign because the graph includes the point) or we can simply rewrite it as all values above -6 or y ≥ -6.

Sagot :

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