SOLUTION: Find the x-intercept of y=4|x|+2 I know the answer is "no solution", but I do not understand why.

Question 840157: Find the x-intercept of y=4|x|+2
I know the answer is "no solution", but I do not understand why.
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!

y = 4|x| + 2

To find the x-intercept (if there is one) we substitute 0 for y:

0 = 4|x| + 2

Solve for |x|, add -2 to both sides:

-2 = 4|x|

Divide both sides by 4

 = |x|

 = |x|

The absolute value of a number can never be negative.

therefore there can be no x-intercept.

The graph also shows why there can be no x-intercept,
because we get this V-shaped graph which never 
gets down to the x-axis to intersect it. 



Edwin

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