What is the range of the function y = -|x|?

Question

campbell_st · Answer

looking at the graph always helps with range.... did you graph it..?

anonymous · Answer

not yet

campbell_st · Answer

its just a suggestion, makes it easy to understand range

psymon · Answer

Do you know what the normal graph of |x| looks like?

anonymous · Answer

like a hill?

psymon · Answer

Well, think of it, absolute value of 1 is 1, of 2 is 2, of 3 is 3, etc. So half of it goes up in a perfect diagonal line up and right. Then you have abs value of -1 is 1, of -2 is 2, of -3 is 3, so you end up with the exact same lin ebut going in the opposite direction. SO basically, this is the graph of |x|

|dw:1380053391727:dw|

Basically a V. But in this case you have that V, but negative. So instead of all the y-values being positive, they go negative. So your graph flips upside down. Whatever was positive for y now became negative.