How do you find domain and range for # f(x) = (x^2) - 2x - 15#?
This is an equation of a parabola that opens upward and will have a minimum value for y at the vertex.
Since this is a parabola opening upward, the domain is all real values for x:
The general formula for a parabola is:
Now, find the vertex using this formula for the x-coordinate:
Finally, we can find the lower limit for y by inserting the x-coordinate of the vertex into the original equation:
So, the range is
Here is a graph of the parabola:
hope that helped