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Type: Multiple-Choice
Category: Functions and Relations
Level: Grade 10
Standards: HSF-LE.A.1, HSF-LE.A.1a
Author: nsharp1
Created: 4 years ago

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Functions and Relations Question

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Grade 10 Functions and Relations CCSS: HSF-LE.A.1, HSF-LE.A.1a

Given the answer in the previous question, which of the following gives the best reasoning as to why one can conclude that a linear function grows by equal differences over equal intervals?
  1. Because the resulting equation for [math]Delta f[/math] is also linear, it will increase at a constant rate.
  2. Because there is no slope in the resulting equation, the value of [math]Delta f[/math] is constant.
  3. Since the resulting equation for [math]Delta f[/math] has no [math]b[/math] value, it is independent of the y-intercept. As such, [math]Delta f[/math] will increase by equal amounts over equal intervals.
  4. Since [math]Delta f[/math] is dependent only on the length of the interval, as long as the interval [math]Delta x[/math] is constant, [math]Delta f[/math] will be the same.
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