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] 0 [/math] | [math] -4 [/math] |
| [math] 2 [/math] | [math] 2 [/math] |
| [math] 4 [/math] | [math] 8 [/math] |
| [math] 6 [/math] | [math] 14 [/math] |
| [math] 8 [/math] | [math] 20 [/math] |
- [math]f(x)[/math] is linear, because the difference of y-values over equal intervals is constant.
- [math]f(x)[/math] is linear, because the difference of x-values is constantly 2 units.
- [math]f(x)[/math] is exponential, because the ratio of y-values over equal intervals is constant.
- It cannot be determined whether [math]f(x)[/math] is linear or exponential, because there are no intervals of only one unit in the table.
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