Algebra 1
Q.21 Checkpoint: Average rate of change 179
Which of the following functions have an average rate of change equal to 0 on the interval from $x = - 2$ to $x = 2$ ? Select all that apply.
$f (x) = 7 - 3 x$
$f (x) = 7 - 3 x^{2}$
$f (x) = 7 x$
$f (x) = 7$

Answer

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Answer

$f_{4} (- 2) = 7$ , $f_{4} (2) = 7$ , Average rate of change: $\frac{f_{4} (2) - f_{4} (- 2)}{2 - (- 2)} = \frac{7 - 7}{4} = 0$

Steps

Step 1 ： $f_{1} (- 2) = 7 - 3 (- 2) = 13$ , $f_{1} (2) = 7 - 3 (2) = 1$ , Average rate of change: $\frac{f_{1} (2) - f_{1} (- 2)}{2 - (- 2)} = \frac{1 - 13}{4} = - 3$

Step 2 ： $f_{2} (- 2) = 7 - 3 (- 2)^{2} = 7 - 12 = - 5$ , $f_{2} (2) = 7 - 3 (2)^{2} = 7 - 12 = - 5$ , Average rate of change: $\frac{f_{2} (2) - f_{2} (- 2)}{2 - (- 2)} = \frac{- 5 - (- 5)}{4} = 0$

Step 3 ： $f_{3} (- 2) = 7 (- 2) = - 14$ , $f_{3} (2) = 7 (2) = 14$ , Average rate of change: $\frac{f_{3} (2) - f_{3} (- 2)}{2 - (- 2)} = \frac{14 - (- 14)}{4} = 7$

Step 4 ： $f_{4} (- 2) = 7$ , $f_{4} (2) = 7$ , Average rate of change: $\frac{f_{4} (2) - f_{4} (- 2)}{2 - (- 2)} = \frac{7 - 7}{4} = 0$

Algebra 1Q.21 Checkpoint: Average rate of change 179Which of the following functions have an average rate of change equal to 0 on the interval from x=−2 to x=2 ? Select all that apply.f(x)=7−3xf(x)=7−3x2f(x)=7xf(x)=7

Answer

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Algebra 1
Q.21 Checkpoint: Average rate of change 179
Which of the following functions have an average rate of change equal to 0 on the interval from $x = - 2$ to $x = 2$ ? Select all that apply.
$f (x) = 7 - 3 x$
$f (x) = 7 - 3 x^{2}$
$f (x) = 7 x$
$f (x) = 7$