Question

consider the following equations.f(y) = y2 3g(y) = 0y = −1y = 2sketch and shade the region bounded by the graphs of the functions.

Answer 1

To sketch and shade the region bounded by the graphs of the functions f(y) = y^2 and g(y) = 0, plot the graphs and shade the area between them below the x-axis.

Step-by-step explanation:

To sketch and shade the region bounded by the graphs of the functions f(y) = y^2 and g(y) = 0, we first plot the graphs of the functions.

The graph of f(y) = y^2 is a parabola that opens upwards, passing through the point (0,0). The graph of g(y) = 0 is a horizontal line passing through y = 0.

To sketch and shade the region bounded by these graphs, we shade the area between the graphs of f(y) = y^2 and g(y) = 0 below the x-axis. This shaded region represents the values of y for which f(y) is greater than or equal to g(y).