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Advanced MathEasy–MediumSpotting the nonlinear function

Advanced Math practice question

Which of the following functions is NOT a linear function?

  1. A. y = x² + 1Correct
  2. B. y = 3x
  3. C. y = −2x + 5
  4. D. y = 7

Answer: A. y = x² + 1

A linear function's graph is a straight line, with x appearing only to the first power. x² + 1 contains x², so its graph is a parabola.

Why the other answers are wrong

B. y = 3x
y = 3x is a line through the origin with slope 3.
C. y = −2x + 5
y = −2x + 5 is a line with slope −2.
D. y = 7
y = 7 is a horizontal line — linear, with slope 0.

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