Advanced MathEasy–MediumSpotting the nonlinear function
Advanced Math practice question
Which of the following functions is NOT a linear function?
- A. y = x² + 1Correct
- B. y = 3x
- C. y = −2x + 5
- 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.
More Advanced Math questions
- Easy–Medium
If f(x) = 2x² − 3, what is f(4)? - Easy–Medium
Which expression is equivalent to (2x³)(3x⁴)? - Easy–Medium
What are the solutions to x² − 16 = 0? - Easy–Medium
Which expression is equivalent to (x + 5)²? - Easy–Medium
For x ≠ 0, which expression is equivalent to (x² + 3x) / x? - Easy–Medium
What are the solutions to the equation 2(x − 3)² − 32 = 0 ?
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