For the equation y = the square root of x^2-4, dertermine the domain and range?

Question

Mathematics

Todd Brown

28 March, 21:54

For the equation y = the square root of x^2-4, dertermine the domain and range?

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Lena Hurley · Answer 1

Since the function is a square root, the range is 0 to infinity. At y = 0, x = 2,-2, therefore domain is from negative infinity to - 2, and 2 to positive infinity. Any value between - 2 and 2 results to an imaginary y.