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Chapter 12: Problem 18

Answer true or false. If the answer is false, explain why. \(f(x)=-4 x+1\) is an example of a linear function.

Short Answer

Expert verified
True. \(f(x) = -4x + 1\) is an example of a linear function, as it matches the general form \(f(x) = mx + b\), with \(m = -4\) and \(b = 1\).

Step by step solution

01

Identify the given function

The given function is \(f(x) = -4x + 1\).
02

Compare the given function to the general form of a linear function

The given function appears in the form \(f(x) = mx + b\), with \(m = -4\) and \(b = 1\). Since it matches the general form, it is a linear function.
03

Provide the answer

Thus, the statement is true. \(f(x) = -4x + 1\) is indeed an example of a linear function.

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