Question

Please help me do this graphing problem anyone??

Answer 1

f(x) < 0 is the same as y < 0

because y = f(x)

Answer 2

so you are looking for intervals where the blue curve is below the x axis

below the x axis corresponds to when y < 0

Answer 3

does that make sense? or no?

Answer 4

so im gona get something like (2,infinity)(-infinity,1)

Answer 5

(2,infinity) corresponds to the curve that is above the x axis

Answer 6

so (2,infinity) is part of the solution for f(x) > 0

Answer 7

but we want f(x) < 0

Answer 8

(-infinity,0)

Answer 9

that's one piece of the answer to part (a)

Answer 10

there is another piece that is below the x axis

Answer 11

(-infinity,0),(1,2)

Answer 12

you combine the two pieces using a U

Answer 13

U for union

Answer 14

(-infinity,0) U (1,2)

Answer 15

B (0,1) U (2,infinity)

Answer 16

close, but now we have a \(\Large \ge\) symbol and not just a > symbol for part (b)

Answer 17

so we're including the endpoints 0, 1 and 2

Answer 18

meaning that the answer for part (b) is really [0,1] U [2, infinity)

Answer 19

notice how the parenthesis changed to square brackets (to show how we're including those endpoints)

Answer 20

yeah I see how it works now thank you

Answer 21

np