Algebra 2H Unit 1 Review

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What is interval notation?

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Interval notation is a way of representing a range of numbers using parentheses and brackets. Parentheses indicate that the endpoint is not included (open interval), while brackets indicate that the endpoint is included (closed interval). For example, (a, b) means all numbers between a and b, not including a and b, while [a, b] includes both a and b.

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What is the range of a function?

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The range of a function is the set of all possible output values (y-values) that the function can produce. It is often expressed in interval notation.

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How do you determine the range of the function given by the graph?

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To determine the range from a graph, identify the lowest and highest points on the y-axis that the graph reaches. Express this as an interval.

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What is the difference between an open interval and a closed interval?

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An open interval (a, b) does not include the endpoints a and b, while a closed interval [a, b] includes both endpoints.

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The solution set is all real numbers less than 8, expressed in interval notation as (-inf, 8).

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The inequality symbol indicates that y can take on values less than or equal to the value of the expression on the right side of the inequality.