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Domain range and end behavior worksheet

Lesson 11 domain range and end behavior worksheet answers 2025

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The document is a practice worksheet for Algebra 2 focusing on the concepts of domain, range, and end behavior of functions. It includes exercises to determine if given relations are functions, to express intervals in inequality, set, and interval notation, and to analyze the domain and range of various functions along with their end behavior.

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How do you find the domain and range answers?

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.

How do you describe end behavior?

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 .

How do you find the domain range and end behavior?

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.

How to describe the end behavior of a polynomial?

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.

How do you describe end behavior in words?

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.

What can you say about the end behavior?

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.

How to find domain and range of a graph in interval notation?

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.

How would you describe the end behavior of 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 ).

Lesson 11 domain range and end behavior worksheet answers 2025

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