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Does 12 plus y equals x describe a linear function?
Yes.
Is x equals 4 a function?
No, x = 4 is not a function. I would describe x = 4 as the solution to an equation.
What is the solution for function of function of x equals function of x?
f(f(x)) = f(x). Only if f is 1-1 then we have a solution f(x)=x.
Cos x equals -cos x plus 1?
No, but cos(-x) = cos(x), because the cosine function is an even function.
How do you describe the function y equals 5x?
It is a linear function passing through the origin. It represents a direct proportionality between x and y.
What is the formula for a rational function with x intercepts at x equals 3 and x equals negative 2. y intercept at y equals 12. a hole at x equals 1 and no horizontal asymptote?
f(x) = 2*(x-3)*(x+2)/(x-1) for x ≠1
If Sin equals x and Cos equals y then x squared equals what function of y?
If x = sin θ and y = cos θ then: sin² θ + cos² θ = 1 → x² + y² = 1 → x² = 1 - y²
Is y equals x2 plus 1 a function?
Yes. Think of y as being a function of x. y = f(x) = x2 + 1
What is the range of the function y equals -x 2 plus 1?
y < 1
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.
What is the inverse function of f fx equals sqrt2x-1?
3
Can a function be defined as x equals a but not have a limit at x equals a?
exactly...
