Answer:A. please see the table in the pictureGraph: - Plot the points from the table. - Draw a smooth curve through the points. - Note that the graph has a vertical asymptote at x = 5 (because the function is undefined at x = 5). B.Domain: All real numbers except x = 5. This can be written as (-∞, 5) U (5, ∞).Range: All real numbers except y = 0. This can be written as (-∞, 0) U (0, ∞).x-intercept: None (the graph never crosses the x-axis).y-intercept: (0, -1/5) (plug in x = 0 into the function).Zeroes: None (the graph never crosses the x-axis).Vertical asymptote: x = 5 (the denominator of the function becomes zero at x = 5).Horizontal asymptote: y = 0 (the degree of the numerator is less than the degree of the denominator). C.Population after 5 months:Substitute r = 5 into the population function: P(5) = 76(2 + 0.1 * 5) / (2 + 0.02 * 5) P(5) = 76(2.5) / (2.1) P(5) ≈ 90.48Answer: The population of the insects will be approximately 90.48 after 5 months.