Example2: Graphing |f(|x|)|

 f(x) =-x^3 +x^2



Step 1: Graphing. |f(x)| from f(x)

So, reflecting the part of f(x) below X-Axis to above it




Step2: f(|x|) from |f(x)|

Getting rid of |f(x)| on the left side of the X-axis 




Finally f(|x|) from |f(x)| 
By Reflecting the right side of |f(x)| on the left side of X-axis
i.e |f(|x|) graph








Comments

Post a Comment

Popular posts from this blog

A ride to remember

  We were 20 minutes to the airport in an Ola,   When Subhash’s Shabnam broke. Shubhash was our Ola driver for our journey to IGIA and his cab was lovingly called Shabnam.   Subhash seemed a cuckoo while loading our luggage in the cab. But we had no choice other than to board the cab. We crossed just a few steps from our home when it started raining cats and dogs from nowhere stopped at another mile and re-started in yet another mile with no sign of stopping this time. God was certainly amused. The water started pouring inside the cab with the rain. But it seemed harmless and Shubhash was behaving like a fool with his smiles trying to defend. We ignored it until he told us with the same sheepish smile that he was moving the fastest possible when the speed of his Shabnam was equal to that of a rickshaw. We suddenly got alerted. We yet have to cover a significant distance to reach our destination. Where will we be abandoned by Shubhash and his Shabnam? Will we get another c...
Read more

Within or without

 While the saints and all our ancient holy scriptures urge us to look within. Be it to find God or to cleanse your mind. All the faults lie within If the table shakes on which the cup of tea lies, it spills tea because it contains tea not because someone shook the table. That is how the perspectives are shaped when we follow saints. This is an honest truth that not everyone follows saints in the modern day and when democracy prevails. Some would like to think tea spilled because someone shook the table which is also correct in another frame. Whatever lies within the cup is none of our business, just don't spill it! What if democracy has reached a point when the "without" perspective of spilling the tea is widely prevalent? The essence of democracy is lost and it becomes dadagiri because we start demanding freedom that compromises the other's freedom. While democracy promotes the without perspective, the within perspective must be preserved to keep the democracy going....
Read more