Question

How do I find the range of this problem?

http://prntscr.com/byuu8b

Answer 1

The range is the set of possible outputs or y values. So look at the graph and see which y values are possible.

Based on the graph, what is the largest y value possible?

Answer 2

0?

Answer 3

yes, so the range is \(\Large y \le 0\) which in interval notation is \(\Large (-\infty, 0]\)

the interval notation format means "the left boundary isn't really a boundary at all. You can keep going to the left forever towards negative infinity. The right boundary is 0. The square bracket means include 0 in the range"

Answer 4

Thank you so much. Could you tell me the range of this graph? I can't tell where it starts and ends really.

http://prntscr.com/byuwba

Answer 5

the line extends on forever in both directions

so ANY y value is possible for a certain x value (eg: y = 0 happens when x = 0)

Answer 6

oh, so the range would be (-infinity,positive infinity)?

Answer 7

yes \(\Large (-\infty,\infty)\)

Answer 8

you can write that as (-infinity, infinity)

Answer 9

Thanks!

Answer 10

you're welcome