0
An example of a non-linear equation is a quadratic equation of the form ax^2 + bx + c = 0
To get two inputs you will have to equations like this
y = x^2
y = 8 - x^2
You need to find the points where the equations overlap, so you are trying to find any spots where y = x^2 equals y = 8 - x^2:
y = x^2 = y = 8 - x^2
The algebra comes in when I manipulate useful bits of this last equation. I can pick out whichever parts I like - they're all equal, after all
y = x2
y = 8 - x2
y = y
x^2 = 8 - x^2
Each of these sub-equations is true, but only the last one is usefully new and different. I can solve this for the x-values that make the equation true:
x^2 = 8 - x^2
2x^2 = 8
x^2 = 4
x = -2, +2
Then the solutions to the original system will occur when x = -2 and when x = +2.
What are the corresponding y-values? To find them, I plug the x-values back in to either original equation. (It doesn't matter which one I pick because I only care about the points where the equations spit out the same values. So I can pick whichever equation I like better.) I'll plug the x-values into the first equation, because it's the simpler of the two:
x = -2:
y = x^2
y = (-2)^2 = 4
x = +2:
y = x^2
y = (+2)^2 = 4
Then the solutions (as we already knew) are (x, y) = (-2, 4) and (2, 4).
Wiki User
∙ 15y ago
Add your answer:
Earn +20 pts
What is a non-example of linear?
It is possible to give an example of non-linear, but I have no idea what a non-example is. Is a non-example of linear a curve. That would be my first thought but not sure
What distinguishes a linear function from other functions?
A linear function is one in which the power of the function is only one. So, the graph of it would be a straight line. For example, x2 + x = y is not linear, because the highest power is 2. A main difference is, non linear functions have curves, where as a linear function is a straight line, with the exception of when the function has a power of 0, and it is technically a straight line.
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
Why do linear functions have a rate of change?
Linear functions have a rate of change because their slope parameter is non-zero. That is, as their x or y values changes, their corresponding x or y values change in response.
What is linear and nonlinear?
A linear or non linear function is a function that either creates a straight line or a crooked line when graphed. These functions are usually represented on a table under the headings x and y.
What is a non-example of linear?
It is possible to give an example of non-linear, but I have no idea what a non-example is. Is a non-example of linear a curve. That would be my first thought but not sure
What are non linear functions?
Functions that do not result in a line when graphed.
What is the difference between linear and nonlinear demand functions?
distinguish between linear and non linear demands funcions
What linear functions are non inverse function?
x = constant.
What is non linear data strcuture?
A tree is an example for a non-linear data structure.
What distinguishes a linear function from other functions?
A linear function is one in which the power of the function is only one. So, the graph of it would be a straight line. For example, x2 + x = y is not linear, because the highest power is 2. A main difference is, non linear functions have curves, where as a linear function is a straight line, with the exception of when the function has a power of 0, and it is technically a straight line.
What a few example of non linear resistance?
Two examples of non linear resistance is a diode and a light bulb.
What is the difference between a linear graph and a non-linear graph?
linear: LINE example--- line non-linear: not a LINE example--- parabola The other possibility is a graph with a non-linear scale. First a linear scale will have each unit represent the same amount, regardless of where you are on the scale. A semilog scale, has a linear scale in the horizontal direction, and a logarithmic scale in the vertical direction. Exponential functions (such as ex & 10x), will graph as a straight line on this type of graph scale). A logarithmic or log-log scale, has logarithmic scales on both horizontal and vertical axis. Power functions (such as sqrt(x), x2 and x3), graph as a straight line on these scales. See Related Link
What are the differences of linear and non-linear equation?
Linear equations have a variable only to the first degree(something to the power of 1). For example: 2x + 1 = 5 , 4y - 95 = 3y are linear equations. Non-linear equation have a variable that has a second degree or greater. For example: x2 + 3 = 19, 3x3 - 10 = 14 are non-linear equations.
What is the difference between linear and non linear scales?
A linear scale is a scale with equal divisions for equal vales, for example a ruler. A non linear scale is where the relationship between the variables is not directly proportional.
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 5x squared -3 a linear function?
8
