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
