Adv Math: Graphs of Non-linear inequalities

Adv Math: Graphs of Non-linear inequalities

3-3

Multiple Choice

Choose the inequality shown by the graph.

• $y\le x^2+1$

• $y\le\left(x-1\right)^2$

• $y\le x^2-1$

• $y\le\left(x+1\right)^2$

Multiple Choice

Solve:  $\left|x-4\right|<6$  

•  $x>-2$  

•  $x<10$  

•  $-2<x<10$  

•  $x<-2\ or\ x>10$  

Multiple Choice

Which one is an even function?

• $y=x^3+2$

• $y=\left(x-5\right)^2$

• $y=-x^2-2$

• $y=-x^3$

Multiple Choice

Which is symmetric around the origin?

• Even Function

• Odd Function

Multiple Choice

If the parent function is  $y=\sqrt{x}$  , which equation would shift the function 3 left and also stretch it vertically? 

•  $y=\sqrt{x-3}$  

•  $y=3\sqrt{x}$  

•  $y=5\sqrt{x+3}$  

•  $y=\frac{1}{2}\sqrt{x+3}$  

•  $y=2\sqrt{x-3}$