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Domain infinity infinity the range since opening upward is going to be from the smallest y value the y coordinate of the vertex up to infinity.
Interval notation domain and range parabola. Range of a function. The range is the maximum or minimum y value that the graph will reach. To find the range is a bit trickier than finding the domain.
The range is y 10. I highly recommend that you use a graphing calculator to have an accurate picture of the. For f x x 2 the domain in interval notation is.
Enter your answ using interval notation f x 5 x 2 2 10 domain rango. Domain and range of a parabola opening down the down parabola the one in black opens down and moves infinitely along the negative y axis and has the vertex at 10 10. In the quadratic function y x 2 5x 6 we can plug any real value for x.
Domain for any parabola is all real numbers. Domain and range in interval notation. Call the y value of the vertex as y v giving us the range in interval notation.
I if the parabola is open downward the range is all the real values less than or equal to. We can find this by using the vertex form of the function since we have a positive parabola. Identify the orientation and vertex of the.
Y x 2 5x 6. A 6 quadratic functions and equations. Find the domain and range of the quadratic function given below.
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