Use the graph of function \(g\) to answer these questions.

1. What are the values of \(g(1)\), \(g(\text-12)\), and \(g(15)\)?
2. For what \(x\)-values is \(g(x)=\text{-} 6\)?

3. Complete the rule for \(g(x)\) so that the graph represents it.

   \(\displaystyle g(x) =\ \begin{cases} \text{-}10, & \text{-}15\leq x< \text{-}10 \\ \underline{\hspace {8mm}}, & \text{-}10\leq x<\text{-}8 \\ \text{-}6, & \underline{\hspace {8mm}}\leq x<\text{-}1 \\ \underline{\hspace {8mm}}, & \text{-}1\leq x<1 \\ 4, & \underline{\hspace {8mm}}\leq x<\underline{\hspace {8mm}} \\ 8, & 10\leq x<15 \\ \end{cases} \)

   

   piecewise function. closed circle at -15 comma -10, horizontally to a open circle at -10 comma -10. closed circle at -10 comma -8, horizontally to a open circle at -8 comma -8. closed circle at -8 comma -6, horizontally to a open circle at -1 comma -6. closed circle at -1 comma 2, horizontally to a open circle at 1 comma 2. closed circle at 1 comma 4, horizontally to a open circle at 10 comma 4. closed circle at 10 comma 8, horizontally to a open circle at 15 comma 8. 

This graph represents Andre’s distance from his bicycle as he walks in a park. 

Graph of Andre’s distance from his bicycle, coordinate plane, origin \(O\). Horizontal axis scale 0 to 30 by 5’s, labeled “time (seconds)”. Vertical axis scale 0 to 10 by 2’s, labeled “distance (feet)”. The graph begins at (0 comma 0), rises in a smooth curve through (2 comma 1), (5 comma 5) to (8.5 comma 8). The graph decreases to (11 comma 6 point 5) and is horizontal to (14 point 5 comma 6 point 5). The graph then decreases in a smooth curve to (17 comma 1) and rises in a smooth curve to (22 comma 8) and finally curves down to (27 comma 0).

1. For which intervals of time is the value of the function decreasing?
2. For which intervals is it increasing?
3. Describe what Andre is doing during the time when the value of the function is increasing. 

The temperature was recorded every hour of a day. Function \(T\) gives the temperature in degrees Fahrenheit, \(n\) hours since midnight.

Here is a graph for this function.

1. Describe the overall trend of temperature throughout the day.

   

   Discrete graph of temperature over time, coordinate plane, origin O. Horizontal axis scale 0 to 25 by 5’s, labeled “time of day”. Vertical axis scale 30 to 70 by 10’s, labeled “temperature (Fahrenheit)”. The points are near (1 comma 42), (2 comma 40), (3 comma 39), (4 comma 38), (5 comma 36), (6 comma 36), (7 comma 37), (8 comma 41), (9 comma 47), (10 comma 51), (11 comma 55), (12 comma 61), (13 comma 64), (14 comma 66), (15 comma 68), (16 comma 69), ( 17 comma 69 point 3), (18 comma 69), (19 comma 66), (20 comma 63), (21 comma 57), (22 comma 50), (23 comma 41) and (24 comma 32).

2. Based on the graph, did the temperature change more quickly between 10:00 a.m. and noon, or between 8:00 p.m. and 10:00 p.m.? Explain how you know.