F-IF.C.9
Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a graph of one quadratic function and an algebraic expression for another, say which has the larger maximum.
Example Problems
Two landscaping crews plant trees at constant rates. Crew East plants 9 trees per hour, and they had planted 36 trees after 4 hours.
The number of trees planted by Crew West as a function of time (in hours) is given by the table of values.
Which crew plants more trees per hour?
The number of trees planted by Crew West as a function of time (in hours) is given by the table of values.
| Time (hours) | Trees planted |
|---|---|
| 1 | 11 |
| 4 | 44 |
| 7 | 77 |
Which crew plants more trees per hour?
Two orchard teams are picking apples at constant rates. Team Red fills 32 baskets per hour, and they had filled 96 baskets after 3 hours.
The number of baskets filled by Team Blue as a function of time (in hours) is given by the table of values.
Which team fills more baskets per hour?
The number of baskets filled by Team Blue as a function of time (in hours) is given by the table of values.
| Time (hours) | Baskets filled |
|---|---|
| 1 | 27 |
| 3 | 81 |
| 5 | 135 |
Which team fills more baskets per hour?
Lena and Max deposit money into their savings at constant weekly rates. Lena adds per week, and her balance was after 6 weeks.
The account balance for Max as a function of time (in weeks) is given by the table of values.
Who deposits more money per week?
The account balance for Max as a function of time (in weeks) is given by the table of values.
| Time (weeks) | Dollars in account |
|---|---|
| 2 | 56 |
| 6 | 128 |
| 10 | 200 |
Who deposits more money per week?
Khan Academy ResourcesComparing linear functions word problemsCompare quadratic functionsComparing linear functions word problem: workComparing linear functions: equation vs. graphComparing linear functions: faster rate of changeComparing linear functions word problem: climbComparing maximum points of quadratic functionsComparing features of quadratic functionsComparing linear functions word problem: walkComparing linear functions: same rate of change
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