MATH 1306 – Homework Handout # 2

Answers To Odd-numbered Problems

1a.       Approximate coordinates of turning points: (7.75, 10), (11.2, 7) and (17, 15)

1b.       Traffic most congested at t = 17 which is 5 p.m.

            Number of cars at this time is 15 thousand

1c.        Intervals where the function is decreasing (use x-coordinates of turning points from part 1a):

            All real numbers between 7.75 and 11.2, and between 17 and 20

1d.       Traffic becoming more congested (use x-coordinates of turning points from part 1a) during time periods:

            All real numbers between 6 and 7.75, that is, between 6 am and 7:45 am,

            All real numbers between 11.2 and 17, that is, between 11:12 am and 5 pm

3a.        Approximate coordinates of turning points: (-0.8, 6) and (1.6, -1)

3b.       Intervals where function is increasing (use x-coordinates of turning points from part 3a):

            All real numbers between -2 and -0.8, and between 1.6 and 2.5

3c.       Intervals where function is decreasing (use x-coordinates of turning points from part 3a):

            All real numbers between -0.8 and 1.6

3d.        Maximum output: 6

3e.        Minimum output: -1

3f.        -2 is NOT in the range since no input in the domain has -2 as an output

            (Note that the horizontal line through -2 on y-axis does not touch a point on the graph)