Are they right for this question t2 1 Above is a graph of th

Are they right for this question?

t/2 -1 Above is a graph of the function y sinx on the interval z E [0, 2 . Fill x-intercepts of sin zare at x- pi.2pi sin z is negative for (-00,001 Preview (-oo, oo). (Hint: use parens because we cannot include the endpoints. Why?) sin 0 in Quadrants IIIOII IV sin is increasing for x gonlythe interval z E 0, 2 Use interval notation where appropriate. Exact answers, please! Preview , 2 (Separate your x-coordinates by commas.) Preview (Hint: use parens because we cannot include the endpoints.)

Solution

x-intercepts are at x=0 , pi, 2pi

sinx is negative on ( pi , 2pi )

sinx increasing on ( 0 , pi/2 ) U ( 3pi,2 , 2pi )

sinx decrasing on ( pi/2 , pi ) U (pi , 3pi/2)