Nonlinear Inequalities Precalculus

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? 

• $$y=\sqrt{x-3}$$  

• $$y=3\sqrt{x}$$  

• $$y=5\sqrt{x+3}$$  

• $$y=\frac{1}{2}\sqrt{x+3}$$  

• $$y=2\sqrt{x-3}$$