How do you graph $f(x) = abs(5x-2)$ ?

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Answer 1 · 2016-05-11T00:11:57

Refer below.

Given an absolute linear function $|5x-2|$ , to sketch the graph firstly,

Sketch the graph of $y= 5x-2$ .

Let y= 0 to find the x-intercept.
$x=2/5$

Let x=0 to find the y-intercept.
$y=-2$

The gradient of the line is the coeffcient (number) in front of x, 5.
Given 5 is a positive number, the slope is positive.

Hence graph $y=5x-2$ .

For an absolute function, $y=|5x-2|$ ,
Reflect the graph that is below the x-axis.

Hence, the graph $y=|5x-2|$ will look like a V-shape graph.

How do you graph f(x) = abs(5x-2)f(x) = abs(5x-2)?