6
QuizMultiple Choice

Linear Functions — Quiz

Question 6 • Algebraic Reasoning

If f of x is a linear function, which statement must be true?

Answer
A
f of x has no terms with a coefficient other than 1 .
B
f of x has no x -term.
C
f of x has no constant term.
D
f of x has no x squared -term.

Explanation

A linear function has the form f(x) = mx + b, where m and b are constants. It may have a coefficient other than 1 and a constant term, so A and C need not be true; it also includes an x-term when m is nonzero. A linear function has no x²-term, so D is the statement that must be true.

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