Question

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

Answer 1

Refer below.

Explanation:

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.