Sketching
Sketch a continuous function 𝑔𝑥 with the following properties:
On the interval 3,∞, 𝑔𝑥<0
𝑔𝑥 is an even function
The global maximum of 𝑔𝑥 is 2 
On the interval 0,1, 𝑔𝑥 is increasing and concave up.
Describe the end behavior of 𝑔𝑥 using limit notation.