Draw the graph for modulus function f(x) = |x - 1 |
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Given : modulus function f(x) = |x - 1 |
To Find : Draw the graph
Solution:
| f(x) | = f(x) if f(x) ≥ 0
= - f(x) if f(x) < 0
|x - 1 | = x - 1 if x ≥ 1
= -(x - 1) if x < 1
-(x - 1) = 1 -x
x - 1 if x ≥ 1
1 -x if x < 1
x x - 1
1 0
2 1
3 2
4 3
and so on
x 1 - x
0 1
-1 2
-2 3
-3 4
Plot the points and draw lines passing through points
Learn More:
If f(x) =||x|-1| graph of (x)
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|x|+|x-1|+|x-2|+|x-3|=3k
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