Lesson 11 domain range and end behavior worksheet answers 2026

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  2. Begin by addressing the first question regarding whether the given relations are functions. Use the text box provided to write your reasoning for each relation labeled a) through h).
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The domain and range of a function is the set of all possible inputs and outputs of a function respectively. To find the domain of a function f(x), think for what values of x it is defined. To calculate the range of a function f(x), think of what y values it will produce.
End behavior: The end behavior of a polynomial function (a function containing a sum of terms of the form a x n , where is a positive whole number and is a constant real number) describes what the graph of the function looks like as approaches positive or negative infinity .
From a graph, to determine the domain, you should focus on looking left to right. From a graph, to determine the range, you should focus on looking bottom to top. For end behavior, you should focus on what happens at the edges of the graph as x gets very large or very small.
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People also ask

The end behavior of a polynomial can be determined by its leading coefficient and its degree. If the leading coefficient is positive, then it goes up on the right, and if the leading coefficient is negative it goes down on the right.
The end behavior of a function refers to how the function behaves when the variable increases or decreases without bound. In other words, the end behavior describes the ultimate trend in the graph of as we move towards the far right or far left of the -axis.
End Behavior: The end behavior of a graph of a function is how the graph behaves as approaches infinity or negative infinity. The end behavior of a function is equal to its horizontal asymptotes, slant/oblique asymptotes, or the quotient found when long dividing the polynomials.
Domain is all the values of X on the graph. So, you need to look how far to the left and right the graph will go. There can be very large values for X to the right. Range is all the values of Y on the graph.
The end behavior of a function describes the behavior of the graph of the function at the ends of the -axis. In other words, the end behavior of a function describes the trend of the graph if we look to the right end of the -axis (as approaches ) and to the left end of the -axis (as approaches ).

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