1. Given the function f(x) = x^3-2x, sketch y = f(|x|)
2. Sketch g(x) = |x^2-1| - |x^2-4|
3. Sketch the region in the plane to show all points (x,y) such that|x|+|y|<=2
I need help understanding absolute values, cause i plugged in table of values to get y but my teacher says I have to consider the cases and regions which I don't understand. Please help asap.
I already handed it in and it was marked poorly so I need to know how to do this. Here's what I did, I plugged in 5 values of x into the equation and got five f(x) values which I used to graph it, and then my answers was matching the answer in the back of the book. However, my teacher gave me a really poor mark on it all because I didn't consider the cases and regions, which your gonna have to explain to me for these questions because I do not what she's talking about.