How do you graph $y = 3 | x |$ $y=3absx$ ?

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Answer 1 · 2017-07-10T02:30:34

Graph:

$y = 3 | x |$ $y=3absx$

Since $| a | = \pm a$ $absa=+-a$ , there are two equations; one in which $x$ $x$ is positive, and one in which $x$ $x$ is negative.

Positive X

$y = 3 x$ $y=3x$

Determine two points.

$x = 0,$ $x=0,$ $y = 0$ $y=0$

$x = 2,$ $x=2,$ $y = 6$ $y=6$

Points: $(0, 0)$ $(0,0)$ and $(2, 6)$ $(2,6)$

Plot the points and draw a straight line through them.

Negative X

$y = - 3 x$ $y=-3x$

Determine two points.

$x = 0,$ $x=0,$ $y = 0$ $y=0$

$x = - 2,$ $x=-2,$ $y = 6$ $y=6$

Points: $(0, 0)$ $(0,0)$ and $(- 2, 6)$ $(-2,6)$

Plot the points and draw a straight line through them.

graph{y=3absx [-10, 10, -5, 5]}

How do you graph y=3absxy=3|x|y=3absx?