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How do you write an equation that shows y is a function of x?
The normal way of showing that y is a function of x is to write y = f(x).
What does function of x mean?
A function of x means that the answers depends on the value of x that is substituted into the function. For example: y = x + 1 If x = 1, y = 2 If x = 2, y = 3 and so on.
How do you know that y is a function of x?
If you plug in y for the x function, and it equals the answer you got, it is right.
What is the difference of x-intercept and y-intercept?
The x- and y-intercepts of a function are the points at which the graph of the function crosses respectively the x- and y-axis (ie. y=0 and x=0).
What is the inverse of exponential function?
The logarithm function. If y = bx, then x = by is the inverse --> y = logb(x). If b = 10, then the function is often stated with the '10' implied: just log(x). For natural logarithms (y = ex), the function y = ln(x) [which indicates loge(x)] is the inverse.
What is the function of a ratio?
The function is f(x, y) = x/y where x, y are real, and y ≠0
Is x equals y a function?
y = x This is a line and a function. Function values are y values.
How do you make y a function of x?
You have Y and you have X. F=function. Y is already a function of X because here's another way you write Y: F(X). So instead of putting Y you out F(X) which meanf "F or X" or "function of X".
What is a binary function?
A binary function is a function f if there exists sets X, Y, and Z, such that f:X x Y -> Z where X x Y is the cartesian product of X and Y.
What is implicit differentiation?
implicit function/? an equation the function(x,y)=0 defines y implicitly as a function of x the domain of that implicitiy defines function consists of those x for which there is a unique y such that the function (x,y)=0
Does the equation x plus y equals 41 define y as a function of x?
Both. If you look at it like this: y=41-x you say x is independent and y is dependent of x (i.e. y is a function of x) For x=41-y you say y is independent and x is dependent of y (i.e. x is a function of y)
What notation represents a function as f x instead of y?
'Y' is a function 'f' of 'x': Y = f(x) . 'Z' is a function 'g' of 'y': Z = g [ f(x) ] .
What is inverse of a function?
Simply stated, the inverse of a function is a function where the variables are reversed. If you have a function f(x) = y, the inverse is denoted as f-1(y) = x. Examples: y=x+3 Inverse is x=y+3, or y=x-3 y=2x+5 Inverse is x=2y+5, or y=(x-5)/2
Does the graph x-y2 equals 1 represent x as a function of y?
X - Y^2 = 1 - Y^2 = - X + 1 Y^2 = X - 1 Y = (+/-) sqrt(X - 1) now, X is represented as a function of Y. Function values are generally Y values.
Does y0 represent y as a function of x?
y0(x) could represent a function of x but usually y(0) represents the function y that is evaluated at x = 0 and so is no longer a function of x but a constant.
What is the function of x and y?
The function of X is verticity (up and down). The function of Y is horizontal (left and right).
How do you write an equation that shows y is a function of x?
The normal way of showing that y is a function of x is to write y = f(x).
