2
QuizMultiple Choice

Linear Functions — Quiz

Question 2 • Algebraic Reasoning

The graph of a function must be linear if it has what characteristic?

Answer
A
It has a constant slope.
B
It crosses the x -axis more than once.
C
It crosses the y -axis exactly once.
D
It passes through the origin.

Explanation

A linear graph has the same slope everywhere, so its slope is constant. Crossing the x-axis more than once does not guarantee a linear graph, and a nonlinear graph can cross either axis or pass through the origin. Therefore, the characteristic that must make the graph linear is a constant slope.

AI-written and checked against the verified answer.

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