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What are the range of values of k when y equals 2x plus k and x squared plus y squared equals 4 but do not intersect?
Equation 1: y = 2x+k => y2 = 4x2+4kx+k2 when both sides are squared
Equation 2: x2+y2 = 4 => y2 = 4-x2 when rearranged
So by definition:
4x2+4kx+k2 = 4-x2 => 5x2+4kx+k2-4 = 0
If the values are tangent to the curve then the discriminant b2-4ac = 0
b2-4ac = 0 => 16k2-4*5*(k2-4) = 0
16k2-20k2+80 = 0 => 4k2-5k2+20 = 0
-k2+20 = 0 => -k2 = -20
Therefore the values of k are: plus or minus the square root of 20
Check: (4*k2)-(5*k2)+20 = 0
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What is the domain and range for y equals 0 to 25 and x equals 0 to 10?
The domain is the x values, so x = 0 to 10. The range is the y values, so y = 0 to 25.
What is the range of the equation y equals X squared plus 6?
The answer depends on the domain for x. For example, if the domain is x = 7, then the range is 55. If the domain is all Real numbers, then the range is y >= 6.
What is the domain and range of y equals x?
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10
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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.
What is the domain and range for y equals 0 to 25 and x equals 0 to 10?
The domain is the x values, so x = 0 to 10. The range is the y values, so y = 0 to 25.
What is the range of the quadratic parent y equals x squared?
All real numbers that are greater than or equal to zero
What is the collection of all output values called?
All the output values of a function are collectively called the "range" of that function. For example, consider the function x2. Any number squared will give a positive. Thus, the "range" of the function is positive numbers.
What is the range of fx equals 2x - 5?
Domain is the number of x values that can be used and not cause an imaginary result. Range is the number of the y values that result. In f(x)=2x-5 the range is all real numbers.
What is the domain and range for y equals x squared?
y is greater than 0 x exist in a set of real numbers
What is the range of the equation y equals X squared plus 6?
The answer depends on the domain for x. For example, if the domain is x = 7, then the range is 55. If the domain is all Real numbers, then the range is y >= 6.
What is the range of the equation y equals 9x2 - 4?
If you mean y =9x^2 -4 , than the range is the possible y values. Range = 0<= y < 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.
What is is the domain and range of y equals 2x-8?
10
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.
What is the domain and range of y equals x divided by x plus 40?
The domain can be anything you like as long as it excludes the point x = -40.The range is the set of all values that y can take for the values of x in the domain of your choice.
