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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
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 x -4 a linear function Yes yx-4 is linear since the highest power on x is 1 (y x1-4)?
Only partly true. the highest power of y also needs to be 1 - which it is.
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.
Do a linear equation and a function share the same definition?
No. A function need not be linear. For example, y = sin(x) is a function of x but it is not 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
Is the inverse of a linear function not a function?
The inverse of a linear function is always a linear function. There are a few ways to approach this.To think about it, you can imagine flipping the x and y axes. Essentially this equates to turning the graph of the linear function on its side to reveal the new inverse function which is still a straight line.More rigorously, the linear function y = ax + b has the inverse equation x = (1/a)y - (b/a). This is a linear function in y.
The equation y-x is a parent linear function. Its parent function is...?
if you need to reflect a 2-d object on a graph over its parent linear function then do as follows: (x,y) --> (-y,-x) hope that helps
What is the parent function for a linear equation?
Y=x
Why are not all functions linear equations?
Linear equations can be written as y = mx + b. Any other function would be non-linear. Some linear equations are: y = 3x y = 2 y = -2x + 4 y = 3/4x - 0.3 Some non-linear functions are: f(x) = x2 y = sqrt(x) f(x) = x3 + x2 - 2
When the slope is 0 and the y-intercept is 4 is the function linear?
The line will be parallel to the x axis cutting through the y axis at (0, 4)
