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

May 11, 2016

Refer below.

#### Explanation:

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

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

Let y= 0 to find the x-intercept.
$x = \frac{2}{5}$

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 $y = 5 x - 2$.

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

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