Question

5. given no other restrictions, what are the domain and range of the following funtction? f(x)=x^2-2x+2 if your in connexus and have done the algebra 2 final could you give me the awnsers

Answer 1

The domain tells us which x values we can use in the equation. In this case, there is no x value that will result in the function being undefined, so the domain is all real numbers. No matter what x we plug into our function, there are some y values that we will never receive- such as a negative number. The graph of this function is an upward opening parabola with its vertex at (2,2). Since the lowest y value we can obtain from this equation is 2, and it continues on toward infinity in the positive direction, the range is 2 to infinity.