Which intervals show f(x) decreasing? check all that apply

[-2.5, -2], [-2, -1.5], [1.5, 2], [2, 2.5]

Step-by-step explanation:

'Decreasing' means the y value is decreasing, or getting less in value.  On these intervals, the y-value of the graph is getting smaller, so the function is decreasing on these intervals

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