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Type: Multiple-Choice
Category: Linear Equations
Level: Grade 11
Standards: HSF-LE.A.1, HSF-LE.A.1a
Author: nsharp1
Last Modified: 4 years ago

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Grade 11 Linear Equations CCSS: HSF-LE.A.1, HSF-LE.A.1a

Given the table below, which lists some of the values of the function

$f(x)$ , which of the following is true, and why?

$\ \ \ \ \ \ \ \ \ \ \ mathbf{x} \ \ \ \ \ \ \ \ \ \ \$	$\ \ \ \ \ \ \ \ \ \ \mathbf{f(x)} \ \ \ \ \ \ \ \ \ \$
$0$	$-4$
$2$	$2$
$4$	$8$
$6$	$14$
$8$	$20$

$f(x)$ is linear, because the difference of y-values over equal intervals is constant.
$f(x)$ is linear, because the difference of x-values is constantly 2 units.
$f(x)$ is exponential, because the ratio of y-values over equal intervals is constant.
It cannot be determined whether $f(x)$ is linear or exponential, because there are no intervals of only one unit in the table.