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Does y vary directly as x in this function y equals x plus 2?
No.
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
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 is the domain range asymptote and intercept of the equation y equals 4 times 2 exponent x?
y = 4(2x) is an exponential function. Domain: (-∞, ∞) Range: (0, ∞) Horizontal asymptote: x-axis or y = 0 The graph cuts the y-axis at (0, 4)
Why was the calculus student confused about y equals ex and the derivative of y equals ex?
Because the derivative of e^x is e^x (the original function back again). This is the only function that has this behavior.
What is the range of the function y equals -x?
The range depends on the domain, which is not specified.
What is the range of the function y equals -x 2 plus 1?
y < 1
What is the minimum value that the function y equals cos x assumes?
Since the range of the cosine function is (-1,1), the function y = cos(x) assumes a minimum value of -1 for y.
Is x equals y a function?
y = x This is a line and a function. Function values are y values.
Is the parabola with an equation of x equals y2 is a function?
Yes, but x would be a function of y, not the other (usual) way round. The domain of the function would be y in (-infinity, +infinity) and the range x in [0, +infinity).
What is the domain and range of y equals x?
The domain of a function represents the set of x values and the range represents the set of y values. Since y=x, the domain is the same as the range. In this case, they both are the set of all real numbers.
Example of quadratic function?
x2+2x+1=y or y=x2 In this function the domain is x equals real values and the range is y equals all real values provided y is more than or equal to zero.
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.
Is y equals x squared -4x plus 3 a domain or range?
Y = x squared -4x plus 3 is an equation of a function. It is neither called a domain nor a range.
Is x2-y2 equals 81 a function?
The answer, for y as a function of x, depends on the range of y. Over the real numbers, it is not a function because a function cannot be one-to-many. But it is always possible to define the domain and range in such a way that the mapping in not one-to-many.
Is y equals -x plus 2 a linear function?
Yes, y=-2+x is a linear function.
What is the range of the relation y equals to absolute value of x to 4?
y=|x|/4 The range is [0 , ∞ )
