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.