M.1HS8.20
For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.
Example Problems
An airplane uses fuel at a constant rate.
The table compares the flight time (in hours) and the remaining fuel (in liters).
How fast is the airplane using fuel?
The table compares the flight time (in hours) and the remaining fuel (in liters).
| Hours | Fuel Remaining (L) |
|---|---|
| 1 | 4600 |
| 3 | 4200 |
| 5 | 3800 |
How fast is the airplane using fuel?
A cyclist rides at a constant speed.
The table compares the time spent cycling (in hours) and the distance covered (in kilometers).
How fast is the cyclist riding?
The table compares the time spent cycling (in hours) and the distance covered (in kilometers).
| Hours | Distance (km) |
|---|---|
| 1 | 15 |
| 3 | 45 |
| 5 | 75 |
How fast is the cyclist riding?
A birthday candle burns at a constant rate.
The table compares the time since it was lit (in minutes) and its remaining height (in centimeters).
How fast is the candle burning?
The table compares the time since it was lit (in minutes) and its remaining height (in centimeters).
| Minutes | Height (cm) |
|---|---|
| 10 | 8 |
| 20 | 6 |
| 30 | 4 |
How fast is the candle burning?
Khan Academy ResourcesIntro to slopeSlope formulaSlope reviewSlope-intercept form reviewSlope-intercept introSlope from two pointsSlope-intercept from two pointsSlope from graphInterpreting graphs of functionsSlope-intercept equation from graphSlope from equationWorked example: slope from graphConverting to slope-intercept formSlope of a line: negative slopeWorked example: slope from two pointsSlope of a horizontal lineSlope & direction of a linePositive & negative slopeSlope from equationInterpreting a graph exampleWorked examples: slope-intercept introIntro to slope
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