The graphs of f and g are given in the figure.

There are two curves graphed on the x y coordinate plane.

The first curve, labeled f, begins at the point (−4, −2), goes up and right passing through the points (−3, −1) and (−2, 1),reaches a maximum point at on the y-axis at y = 3, goes down and right passing through the point (2, 2), and ends at the point (4, −1).

The second curve, labeled g, begins at the approximate point (−4, 2.5), goes down and right passing through the point (−2, 1) intersecting f, reaches a minimum at approximately (0, 0.5), goes up and right passing through the point (2, 2)intersecting f, and ends at the point (3, 4).

(a)

State the values of 

f(2)

 and 

g(−2).

f(2)

= 

g(−2)

= 

(b)

Which is larger, 

f(3) or g(3)?

f(3)

g(3)

     

(c)

For what values of x is 

f(x) = g(x)?

 (Enter your answers as a comma-separated list.)

x =       (d)

On what interval(s) is 

f(x) ≤ g(x)?

 (Enter your answer using interval notation.)     (e)

State the solution of the equation 

f(x) = −1.

 (Enter your answers as a comma-separated list.)

x =       (f)

On what interval(s) is g decreasing? (Enter your answer using interval notation.)     (g)

State the domain and range of f. (Enter your answers using interval notation.)

domain     range      (h)

State the domain and range of g. (Enter your answers using interval notation.)

domain     range