Question

lesson 1: all things being equal
ready, set, go

ready
find the features for each function represented with a graph.

1. graph shows the distance traveled during a familys road trip.

intervals of increase:\t\tminimum:

intervals of decrease:\t\tdomain:

maximum:\t\t\trange:

Explanation:

Step1: Identify increase intervals

Look for rising graph segments:
$0 < t < 4$ and $7 < t < 10$ (time in hours)

Step2: Identify decrease intervals

Look for falling graph segment:
$13 < t < 20$ (time in hours)

Step3: Find maximum value

Locate highest vertical value:
Maximum distance = 8 units

Step4: Find minimum value

Locate lowest vertical value:
Minimum distance = 0 units

Step5: Determine domain

Identify all valid input (time) values:
$0 \leq t \leq 20$ (time in hours)

Step6: Determine range

Identify all valid output (distance) values:
$0 \leq d \leq 8$ (distance units)

Answer:

Intervals of Increase: $0 < t < 4$ and $7 < t < 10$ (in hours)
Intervals of Decrease: $13 < t < 20$ (in hours)
Maximum: 8 (distance units)
Minimum: 0 (distance units)
Domain: $[0, 20]$ (time in hours)
Range: $[0, 8]$ (distance units)