How would you find the domain for f(x) = 2x - 4x^1/2 + 2 ? I'm not exactly sure what to do/what steps to take. Do you factor out a 2x^{1/2
}from the whole problem and then get 2x^{1/2} times x^{2}-3x+2?
How would you find the domain for f(x) = 2x - 4x^1/2 + 2 ?
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1 Answer
The domain of this function is all real numbers greater than or equal to zero. The range is 2 to + infinity.
Negative real numbers are excluded from the domain because the square root of a negative number is not real. The minimum value of the function occurs at x = 0 and has the value 2. The 2 x term ensures that the upper end of the range is + infinity.