Domain And Range Interval Notation Parabola
Range of a function.
Domain and range interval notation parabola. We can find this by using the vertex form of the function since we have a positive parabola. I highly recommend that you use a graphing calculator to have an accurate picture of the. Given a situation that can be modeled by a quadratic function or the graph of a quadratic function determine the domain and range of the function.
A 6 quadratic functions and equations. The range is y 10. For f x x 2 the domain in interval notation is.
Technically a parabola could have undefined points within its domain. Open parentheses closed parentheses infinity imagine an 8 sideways negative infinity an 8 sideways with a negative sign in front of it and union a symbol similar to an elongated u. Interval notation is a method used to write the domain and range of a function.
The domain the set of all x values at which a function is defined of your parabola is probably all real numbers so in interval notation it is likely. 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. D indicates that you are talking about the domain and read as negative infinity to positive infinity is another way of saying that the domain is all real numbers.
Call the y value of the vertex as y v giving us the range in interval notation. Domain and range in interval notation. Y f b 2a practice problems.
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. Range y v infinity.