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

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Linear Equations Question

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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 [math]f(x)[/math], which of the following is true, and why?

[math] \ \ \ \ \ \ \ \ \ \ \ mathbf{x} \ \ \ \ \ \ \ \ \ \ \ [/math][math] \ \ \ \ \ \ \ \ \ \ \mathbf{f(x)} \ \ \ \ \ \ \ \ \ \ [/math]
[math] -3 [/math][math] 3/8 [/math]
[math] 0 [/math][math] 3 [/math]
[math] 3 [/math][math] 24 [/math]
[math] 6 [/math][math] 192 [/math]
[math] 7 [/math][math] 384 [/math]
  1. The function is linear, since the difference in most x-values is 3 units.
  2. The function is exponential, since the ratio of y-values, over equal intervals, is constant.
  3. It cannot be determined, since the difference in x-values is not constant.
  4. The function is neither linear nor exponential. Both the difference of y-values and the ratio of y-values are not constant for all the values presented in the table.
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