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How do you find the range of a radical function?
The answer depends on what group or field the function is defined on. In the complex plane, the range is the complex plane. If the domain is all real numbers and the radical is an odd root (cube root, fifth root etc), the range is the real numbers. Otherwise, it is the complex plane. If the domain is non-negative real numbers, the range is also the real numbers.
How are real numbers imaginary numbers and complex numbers related?
It helps to visualize the numbers on a plane. The complex numbers occupy the entire plane. The real numbers are all the numbers on the horizontal axis, the imaginary numbers are all the numbers on the vertical axis. A complex number thus has a real and an imaginary part, a + bi, where a and be are real numbers (for example, 3 - 2i).
What is a example of evaluate?
I will evaluate all my math homework.
Can there be a triangle that has imaginary measures?
You can draw a triangle on the complex plane, but all of the distances (side lengths) are considered 'real' distances {just like the magnitudes of individual complex numbers}. So I believe the answer is No.
How do quadratic equations relate to the Julia set fractal?
The Julia can be generated by a quadratic equation in the complex plane. Select a complex number c. Then for a point z in the plane, carry out the iteration, zn+1 = zn2 + c. Colour-code the point according to how many iterations are required before its magnitude exceeds any given threshold. Repeat for all z in the region of the plane.
