Compare the properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a linear function represented by a table of values and a linear function represented by an algebraic expression, determine which function has the greater rate of change. (Limited to linear and quadratic functions only.) (8.F.2)
Example Problems
Function A is defined by the equation:
Function B is defined by the table:
Which function increases faster?
Function B is defined by the table:
| x | y |
|---|---|
| 0 | -3.5 |
| 1 | -1 |
| 2 | 1.5 |
| 3 | 4 |
Which function increases faster?
Function A is defined by the equation:
Function B is defined by the table:
Which function increases faster?
Function B is defined by the table:
| x | y |
|---|---|
| 0 | -4 |
| 2 | 2 |
| 5 | 11 |
| 9 | 23 |
Which function increases faster?
Function A is defined by the equation:
Function B is defined by table:
Which function has a greater y-intercept?
Function B is defined by table:
| x | y |
|---|---|
| 0 | 8 |
| 1 | 9.1 |
| 2 | 10.2 |
| 3 | 11.3 |
Which function has a 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
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