For which intervals is the function increasing?
a (0,1)
b (1,2)
c (2,pi)
d (-pi, 0)

(-pi, 0)

Step-by-step explanation:

From the graph, we have  3 stationary point; the first one at x = 0, the second one at x = 1 and the last one at x = 2.

The function is increasing at two intervals.

The first increase is between x = -1 and x = 0.

The second increase is between x = 1 and x = 2.

From the choices give the interval that represent increase is (-pi, 0)

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

12r - 8 - 12

you have to combine like terms. below i have bolded the like terms:

12r - 8 - 12

together it combines to:

12r - 20

hope this !