# Linear Equations Question

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

[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] |

- The function is linear, since the difference in most x-values is 3 units.
- The function is exponential, since the ratio of y-values, over equal intervals, is constant.
- It cannot be determined, since the difference in x-values is not constant.
- 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.