How do you graph $y = | x - 1 |$ $y = |x - 1|$ by plotting points?

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How do you graph $y = | x - 1 |$ $y = |x - 1|$ by plotting points?

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Answer 1 · 2017-04-16T20:22:37

Realize $y = | x - 1 |$ $y = |x-1|$ is actually two functions:
$y = - (x - 1), x \leq 1$ $y = -(x - 1), x <= 1$ " and " $y = x - 1, x \geq 1$ $y = x - 1, x >= 1$

Explanation:

Break $y = | x - 1 |$ $y = |x-1|$ into a piecewise functions:

$y = - (x - 1), x \leq 1$ $y = -(x - 1), x <= 1$ " and " $y = x - 1, x \geq 1$ $y = x - 1, x >= 1$

$x | - 6 | - 4 | - 2 | 0 | 2 | 4 | 6 |$ $x |""-6|""-4|""-2|" "0|" " 2|" "4|" "6|$
$y | 7 | 5 | 3 | 1 | 1 | 3 | 5 |$ $y |" "7|" "5|" "3|" "1|" " 1|" "3|" "5|$

Plot the points and draw a line between them.
There is a vertex at $(0, 1)$ $(0,1)$

graph{abs(x-1) [-10, 10, -5, 5]}

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How do you graph $y = | x - 1 |$ $y = |x - 1|$ by plotting points?

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Science

Math

Humanities

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How do you graph y=|x−1|y = |x - 1| by plotting points?

1 Answer

Explanation:

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How do you graph $y = | x - 1 |$ $y = |x - 1|$ by plotting points?