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1.3 Rates of change in linear and quadratic functions

Interactive practice questions

Consider the function represented in the table.

Do the set of points satisfy a linear or non-linear function?

$x$x $3$3 $8$8 $10$10 $11$11 $15$15
$y$y $1$1 $16$16 $16$16 $20$20 $20$20

Non-linear

A

Linear

B
Medium
< 1min

Consider a function which takes certain values, as shown in the table below.

Medium
2min

Consider a function which takes certain values, as shown in the table below.

Medium
2min

Consider the function that is satisfied by the ordered pairs:

$\left\{\left(5,-13\right),\left(9,-29\right),\left(11,-37\right),\left(16,-57\right)\right\}${(5,13),(9,29),(11,37),(16,57)}

Medium
2min
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Outcomes

1.3.A

Determine the average rates of change for sequences and functions, including linear, quadratic, and other function types.

1.3.B

Determine the change in the average rates of change for linear, quadratic, and other function types.

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