An Absolute Value Function graph always made a positive quadrant graph because for all positive or negative values, absolute value function values lie between first and second quadrant.

Now we discuss steps of Graphing absolute value function:

- First we put the given value into absolute value function.
- After putting the value in absolute value function, we solve the arithmetic operation for the given value.
- Then we find the absolute value of the function.
- After evaluation of modulus values, now we apply following rules:

⇒ If x > 0, then f(x) > 0 and generated graph made a Point on first quadrant.

⇒ If x < 0, then f(x) > 0 and generated graph made a Point on second quadrant.**Example:**

Find the absolute value of 4x for the value x = -2 and graph them for the values x = {-5, -2, 0, 1, 3, 6}

First lets find the absolute value of the function,

f(x) = |4x|

f(-2) = |4(-2)| = |-8| = 8

Now we shall graph the function f(x) = |4x|,

f(-5) = |4(-5)| = |-20| = 20

f(-2) = |4(-2)| = |-8| = 8

f(0) = |4(0)| = |0| = 0

f(1) = |4(1)| = |4| = 4

f(3) = |4(3)| = |12| = 12

f(6) = |4(6)| = |24| = 24