Which quadrants and axes does $f (x) = | x | - 6$ $f(x)=abs(x)-6$ pass through?

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Which quadrants and axes does $f (x) = | x | - 6$ $f(x)=abs(x)-6$ pass through?

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Answer 1 · 2016-06-09T13:20:47

It will pass all quadrants.
It will intersect the negative $y$ $y$ -axis and both the positive and the negative $x$ $x$ -axis.

Explanation:

Whatever value $x$ $x$ has, $| x |$ $|x|$ will never be negative.

But $f (x) = - 6$ $f(x)=-6$ if $x = 0$ $x=0$ (intersecting the $- y$ $-y$ -axis).
At $x = \pm 6$ $x=+-6$ the value of $f (x) = 0$ $f(x)=0$ (intersecting $+ x and - x$ $+xand-x$ -axis)

Axis-intersections are thus at $(- 6, 0), (0, - 6), (+ 6, 0)$ $(-6,0),(0,-6),(+6,0)$
graph{|x|-6 [-16.02, 16.02, -8.01, 8.01]}

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Which quadrants and axes does $f (x) = | x | - 6$ $f(x)=abs(x)-6$ pass through?

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Explanation:

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Impact of this question

Science

Math

Humanities

... and beyond

Which quadrants and axes does f(x)=|x|−6f(x)=abs(x)-6 pass through?

1 Answer

Explanation:

Related questions

Impact of this question

Which quadrants and axes does $f (x) = | x | - 6$ $f(x)=abs(x)-6$ pass through?