Domain And Range Of A Function Graph Interval Notation
The open circles at x 4 x 2 and x 2 indicates that these values are not included in the domain.
Domain and range of a function graph interval notation. The set of all y values used to graph a function are called the. In interval notation the domain is 1973 2008 and the range is about 180 2010. Domain and range in interval notation draft. Notice that this graph has one endpoint at 0 0 and an arrow therefore this graph covers all y values that are greater than or.
Write the domain of the graph of the function shown below in interval notation. The domain of a function in set builder notation. Students need to correctly represent infinity using parentheses in interval notation. Graph the function g x 2 x 1 and give its domain and range using interval notation.
The final question on the exit slip is to check for student understanding that an odd function with arrows will have the same domain and range. Hence the domain in interval notation is written as. For the domain and the range we approximate the smallest and largest values since they do not fall exactly on the grid lines. The domain and range of a function is all the possible values of the independent variable x for which y is defined.
We write the domain in interval notation as x 0. As a function table and as a set of coordinates. The range of a function is all the possible values of the dependent variable y. The example below shows two different ways that a function can be represented.
Updated video in hd here. For the reciprocal squared function latex f left x right frac 1 x 2 latex we cannot divide by latex 0 latex so we must exclude latex 0 latex from the domain. Note that the output of this function is always positive due to the square in the denominator so the range. There is also no latex x latex that can give an output of 0 so 0 is excluded from the range as well.
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