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# I need help with these 4 questions

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I try to do this one but the points don't match up...

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Feb 14, 2018

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Here are the graphs .....

First one  : https://www.desmos.com/calculator/mw7uveztel

Second one  :  The top right graph is correct......the function is  constant at y  =  3   from -infinity  to x = 1

When x > 1,   y  =  x    ......  so  the points (2,2), (3,3) , (4,4)  etc. are on the graph

Third one :  https://www.desmos.com/calculator/ze9my3umlo

Last one : This one is probably a little strange to you......it's known as  "the ceiling function" graph

In other words, the   "ceiling"  of a value x is the least integer that is greater than or equal to x

So...ceiling  of  1.5  = 2

ceiling of -3.4  =  -3

ceiling of 2  = 2

These graphs  always have a "hole"  on the left end of each segment.....so we can eliminate the graphs at the bottom

To see which of the top  graphs are correct......let's pick an x value in the given interval, say, 1.5,  and put it into the function .....so......1.5 + 1  = 2.5.....and the  "ceiling" of this  = 3

So    (1.5, 3)  should be on the graph

Also  if we picked 1   then  1  + 1   =  2       and the ceiling of 2  = 2

So  (1, 2)  should also be on the graph

Looks like the graph on the top right is correct   !!!

Here's the graph  : https://www.desmos.com/calculator/ffxtehmg8g

Feb 14, 2018