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The idea of a function is that when you give it an input number, it will always give you a unique output number.
Examples:
y = 2x (y is a function of x)
h = 1/x2 + 5 (h is a function of x)
z = 23 + 3y - x + x/y (z is a function of x and y)
An equation simply tells you that two things are equal (left side is equal to the right side).
Examples:
y = 2x (note: also a function)
2x2 + 5 = 50 (not a function, but can be manipulated to become one: [x = squareroot of (50 - 5)/2])
2 + 19 = 21 (not a function)
All functions are equations, but not all equations are functions. Any equation where you have 1 input but more than 1 output is a relation. A function can have different inputs that give the same output, but not 1 input and multiple outputs (example: If you put 5 and -5 as inputs into the function y = x2, you will get the same output of 25.)
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What is the difference between differentiation and a differential equation?
Differentiation: when you differentiate a function, you find a new function (the derivative) which expresses the old function's rate of change. For example, if f(x) = 2x, then the derivative f ' (x) = 2 for all x, because the function is always increasing by 2 units for every increase of x by 1 unit.A differential equation is an equation expressing a relationship between a named function and its derivatives. This can be as simple as y = y', where y is the original function and y' the derivative.
How do we differentiate between a quadratic equation and an exponential equation?
a quadratic equation must be in this form ax^2+bx+c=0 (can either be + or -) an exponential just means that the function grows at an exponential rate f(x)=x^2 or x^3
How do you write a 235 percent as decimal?
you simply differentiate the function and integrate the reamaing trigonometric equation leavin surd form in you ranswer
What is the relationship between the function's equation and the y-intercept?
The y-intercept is the value of the function (if it exists) when x = 0.
The difference between Quadratic function and quadratic equation?
dunctions are not set equal to a value
Differentiate between structure and function?
daffirentiate structure and function
What is differentiate between input and output devices function?
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What is the difference between differentiation and a differential equation?
Differentiation: when you differentiate a function, you find a new function (the derivative) which expresses the old function's rate of change. For example, if f(x) = 2x, then the derivative f ' (x) = 2 for all x, because the function is always increasing by 2 units for every increase of x by 1 unit.A differential equation is an equation expressing a relationship between a named function and its derivatives. This can be as simple as y = y', where y is the original function and y' the derivative.
How do we differentiate between a quadratic equation and an exponential equation?
a quadratic equation must be in this form ax^2+bx+c=0 (can either be + or -) an exponential just means that the function grows at an exponential rate f(x)=x^2 or x^3
Differentiate a relation to a function?
A function is a special type of relation. So first let's see what a relation is. A relation is a diagram, equation, or list that defines a specific relationship between groups of elements. Now a function is a relation whose every input corresponds with a single output.
How do you write a 235 percent as decimal?
you simply differentiate the function and integrate the reamaing trigonometric equation leavin surd form in you ranswer
What is the difference between an equation and function?
ewan ko
How do you find the slope with an equation?
You have to differentiate the equation. The dy/dx is the slope.
How will you differentiate a function from relation?
algebra
What is the relationship between the function's equation and the y-intercept?
The y-intercept is the value of the function (if it exists) when x = 0.
The difference between Quadratic function and quadratic equation?
dunctions are not set equal to a value
Is this equation a function y equals 3squared plus 2x minus 3 is this a function?
You can tell if an equation is a function if for any x value that you put into the function, you get only one y value. The equation you asked about is the equation of a line. It is a function.
