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What does non- linear function mean?
It means if you plot the function it is not on a straight line For example y = 3x + 4 is linear function y = x squared is non linear
Is y equals x - 4 a linear function?
Yes, since y changes proportionally with x.
Is y equals -x plus 2 a linear function?
Yes, y=-2+x is a linear function.
Is y equals x plus 4 a linear function and why?
Yes. y + x = 4 is a linear function because the highest order (exponent) on any dependent or independent variable is 1. So if it were y^2 + x = 4 or y + x^3 = 4 or yx + 4 = 0 or anything like that, it would be non-linear. If that doesn't help, if you rearrange y + x = 4 into standard y = mx + b format you get y = -x + 4. So it's a straight line with a slope of -1 and y-intercept of 4. Any time you have an equation that just has the letters in it (x, y, z, etc. any letter) without any exponents, it's a linear equation.
What is nonlinear expression?
It can be thought of as a function that does not graph to a line when plotted. For example, y=4 or y=5x are linear. But y=x2 or y=x1/2 or y=ln(x) are not linear
