# Functions and Relations Question

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

- Because the resulting equation for [math]Delta f[/math] is also linear, it will increase at a constant rate.
- Because there is no slope in the resulting equation, the value of [math]Delta f[/math] is constant.
- 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.
- 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.