SOLUTION: Someone please help!!! Can someone show me a graph that represents; increasing: (-infinite, -1),decreasing: (3, infinite) and a constant: [-1,3] then a second graph which rep

Algebra ->  Graphs -> SOLUTION: Someone please help!!! Can someone show me a graph that represents; increasing: (-infinite, -1),decreasing: (3, infinite) and a constant: [-1,3] then a second graph which rep      Log On


   

Question 739631: Someone please help!!!
Can someone show me a graph that represents; increasing: (-infinite, -1),decreasing: (3, infinite) and a constant: [-1,3]
then a second graph which represents: f(x)={-2x, if x<-1
and {x+3, if x greater than or equal to -1
thank you soooo muuch!
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
increasing: (-infinite, -1),decreasing: (3, infinite) and a constant: [-1,3] ?There is an infinite number of options.
Here is the graph of a continuous function that meets those requirements:


f%28x%29=%28matrix%282%2C3%2C-2x%2Cif%2Cx%3C-1%2Cx%2B3%2Cif%2Cx%3E=-1%29%29
g%28x%29=-2x is a linear function with g%28-5%29=10 and g%28-1%29=2
f%28x%29=g%28x%29 for x%3C-1 so I can draw that part of the graph for f%28x%29 based on g%28x%29
h%28x%29=x%2B3 is a linear function with h%28-1%29=2 and h%285%29=8
f%28x%29=h%28x%29 for x%3E=-1 so I can draw that part of the graph for f%28x%29 based on h%28x%29