What you’ll learn
Which function has the greater rate of change? Choose Same if their rates are equal.
Key idea
For a linear equation, the coefficient of x is its rate. For a linear table, use matching output change divided by input change, then compare the exact rates.
Worked example
Which function has the greater rate of change? Choose Same if their rates are equal.
Compare Function A and Function B.
Function A
y = 1x - 1
Function B
| x | y |
|---|---|
| -2 | -2 |
| 0 | 0 |
| 3 | 3 |
- Find Function A's rate from the coefficient of x.
- Find Function B's rate from matching output and input changes in the table.
- Compare the two exact rates.
Answer: Same
Quick Check
Which function has the greater rate of change? Choose Same if their rates are equal.
Compare Function A and Function B.
Function A
y = -2x - 5
Function B
| x | y |
|---|---|
| -2 | 3 |
| 0 | -1 |
| 3 | -7 |