Find the domain of the function. (enter your answer using interval notation.) f(x) = x + 3 if x < −1 −2x if |x| ≤ 1 −2 if x > 1

Two variables, x and y, vary inversely, and x=12 when y=4. what is the value of y when x=3?

Find the area of the region that is inside r=3cos(theta) and outside r=2-cos(theta). sketch the curves.

The graph of the function f(x) = (x + 2)(x + 6) is shown below. which statement about the function is true? the function is positive for all real values of x where x > –4. the function is negative for all real values of x where –6 < x < –2. the function is positive for all real values of x where x < –6 or x > –3. the function is negative for all real values of x where x < –2.