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3 years ago

What is the range of the function g(x) = |x - 12| - 2?

Mathematics

1 answer:

PtichkaEL [24]3 years ago

8 0

Step-by-step explanation:

The function is given by

It is an absolute value function which has a v- shaped graph.

The vertex form of an absolute function is given by y = a|x-h| +k, where (h,k) is the vertex.

Comparing the given equation with this, we have

h = 12

k = -2

Hence, the vertex would be (12,-2).

Now, the range of the function is the set of y values for which the function is defined.

This function has vertex of (12,-2). hence, it would not take any values which are less than -2. Please see the attached graph.

Hence, the range would be the all y values greater than or equal to -2.

Hence, the range is given by

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$v=23$ , $w=19$ , $x=22$ , $y=26$ , $z=20$ ;; to find the answer, set the expressions equal to each other, since the sum of the numbers should be the same.

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Plug in the values for $x$ and $w$ , and find $y$ using $25+22+19=y+40$ or $66=y+40$ and results in $y=26$ .

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