Absolute value is defined as the value which is equals to both positive value and negative value. Absolute value makes the negative number into a positive number. In absolute value both the real number and its negative have the same value.
E.g, |-4| = 4
Absolute Value Function can be considered as the distance of the value given from zero. It is a continuous function. This function increases as we move along the positive scale and decreases as we move along the negative scale. The symbol ‘|f ()|’ is used to define the absolute value function.
What is the absolute value of 2x + 1 if the value of x is 7
f(x) = |2x + 1|
Substituting x = 7 the absolute value becomes,
= |2(7) + 1|
= |14 + 1|
If a graph of this absolute value function is made, then it is a positive quadrant graph because all values of absolute value function is 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.