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Y=-16x^2+9x+4.
Is the function linear or nonlinear?

User Shihpeng
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1 Answer

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Final answer:

The function y=-16x²+9x+4 is nonlinear because it contains the term -16x², which involves x raised to the second power. Linear functions only have variables raised to the power of 1.

Step-by-step explanation:

  • The function in question is y=-16x²+9x+4. To determine whether it is linear or nonlinear, we need to look at the highest power of the variable x.
  • If the highest power of x is 1, then the function is linear, which means it will graph as a straight line.
  • However, if there is a variable raised to a power higher than 1, then the function is nonlinear and will not graph as a straight line.
  • In this case, we have the term -16x² which indicates that x is raised to the second power.
  • Because this is higher than 1, the function is non-linear.
  • An example of a linear equation would be in the form of y = a + bx, where a is the y-intercept, and b is the slope of the line.
User Gregor Woiwode
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