Can someone pleas give me an example of a nonlinear function with 2 inputs? I have to provide 5 problems for class and have no idea where to begin or how to set up the problem.
nonlinear means the exponent on the x variable is not 1. example a parabola like y = x^2 -9 I do not know what you mean by 2 inputs. Inputs are just values of the domain that replace the x and compute the y value at that x point. for y= x^2 -9 inputs {-4, -3, -2, -1, 0, 1, 2, 3, 4} your associated outputs would be range {7, 0, -5, -8, -9, -8, -5, 0, 7} This example is symmetric about the y axis. (it is and even function)
Of course! I can help you with that.
To provide an example of a nonlinear function with 2 inputs, we first need to understand what a nonlinear function is. A nonlinear function is a function that does not have a constant rate of change and cannot be represented by a straight line.
One example of a nonlinear function with 2 inputs is a quadratic function. Let's consider the function f(x, y) = x^2 + y^2. This is a quadratic function because it contains terms with both x^2 and y^2.
To create other problems with nonlinear functions, you can modify this example by changing the function or the variables involved. Here are four more examples to help you get started:
1. f(x, y) = x^3 + y^3: This function is also nonlinear because it contains terms with both x^3 and y^3.
2. f(x, y) = sin(x) + cos(y): This is a nonlinear function because it involves trigonometric functions, which generally result in nonlinearity.
3. f(x, y) = xy/(x + y): This function is nonlinear because it contains terms with both x and y in the numerator and denominator of the expression.
4. f(x, y) = e^(x + y): This function is also nonlinear because it incorporates the exponential function, which is nonlinear.
Remember, you can create numerous nonlinear functions by altering the equations, utilizing different combinations of mathematical operations (such as addition, subtraction, multiplication, division, exponentiation, etc.), or including other mathematical functions, like logarithms or square roots.
I hope this helps you generate the 5 problems you need for your class!