Big Ideas Math: Modeling Real Life, Grade 8
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Big Ideas Math: Modeling Real Life, Grade 8 View details
4. Comparing Linear and Nonlinear Functions
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Exercise 11 Page 299

Notice that the x-variable is in the denominator.

Nonlinear, see solution.

Practice makes perfect
Without graphing, we want to determine whether the given equation represents a linear or nonlinear function. y=8/x^2 We can see that the x-variable is in a denominator. Therefore, the function is nonlinear.

Extra

What it means when x is in the denominator?

We have a rational function when x is in a denominator. The graph is divided into at least two distinct pieces by invisible lines called asymptotes. Let's see an example graph of this type of function.