M.1HS.19
Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). (e.g., Given a graph of one quadratic function and an algebraic expression for another, say which has the larger maximum.)
Example Problems
Two videos accumulate views at constant hourly rates. Video Ripple gains 900 views per hour, and after 17 hours it had 16,500 views.
The view count for Video Summit as a function of time (in hours) is given by the table of values.
Which video has the greater y-intercept?
The view count for Video Summit as a function of time (in hours) is given by the table of values.
| Time (hours) | Views |
|---|---|
| 3 | 4400 |
| 10 | 10000 |
| 18 | 16400 |
Which video has the greater y-intercept?
Two savings accounts receive constant monthly deposits. Account Gray increases by per month, and it had a balance of after 14 months.
The balance of Account Jade as a function of time (in months) is given by the table of values.
Which account has the greater y-intercept?
The balance of Account Jade as a function of time (in months) is given by the table of values.
| Time (months) | Balance (dollars) | |
|---|---|---|
| 4 | 1 | 200 |
| 12 | 2 | 600 |
| 20 | 4 | 000 |
Which account has the greater y-intercept?
Two plants are growing at constant rates. Plant Sunbeam grows , and it measured after .
The height of Plant Northstar as a function of time (in days) is given by the table of values.
Which plant has the greater y-intercept?
The height of Plant Northstar as a function of time (in days) is given by the table of values.
| Time (days) | Height (cm) |
|---|---|
| 4 | 18 |
| 9 | 28 |
| 14 | 38 |
Which plant has the greater y-intercept?
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

1-on-1 AI tutoring aligned to M.1HS.19. Instant help for students, real-time insights for teachers.
Used in classrooms by 100,000+ students at Baltimore County, Plano ISD, Deer Valley USD, KIPP, and districts nationwide.
Free for teachers, forever →