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What is a function?Worked example: Evaluating functions from equationWorked example: Evaluating functions from graphWorked example: evaluating expressions with function notation
Practice
Evaluate functionsGet 3 of 4 questions to level up!
Evaluate functions from their graphGet 3 of 4 questions to level up!
Evaluate function expressionsGet 3 of 4 questions to level up!
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Worked example: matching an input to a function's output (equation)Worked example: matching an input to a function's output (graph)Worked example: two inputs with the same output (graph)
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Function inputs & outputs: equationGet 3 of 4 questions to level up!
Function inputs & outputs: graphGet 3 of 4 questions to level up!
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Equations vs. functionsObtaining a function from an equation
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Function rules from equationsGet 3 of 4 questions to level up!
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Function notation word problem: bankFunction notation word problem: beach
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Function notation word problemsGet 3 of 4 questions to level up!
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Intervals and interval notationWhat is the domain of a function?What is the range of a function?Worked example: domain and range from graph
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Domain and range from graphGet 5 of 7 questions to level up!
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Domain of a radical functionWorked example: domain of algebraic functionsWorked example: determining domain word problem (real numbers)Worked example: determining domain word problem (positive integers)Worked example: determining domain word problem (all integers)
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Determine the domain of functionsGet 3 of 4 questions to level up!
Function domain word problemsGet 3 of 4 questions to level up!
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Recognizing functions from graphDoes a vertical line represent a function?Recognizing functions from tableRecognizing functions from verbal descriptionRecognizing functions from verbal description word problem
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Recognize functions from graphsGet 3 of 4 questions to level up!
Recognize functions from tablesGet 3 of 4 questions to level up!
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Introduction to minimum and maximum pointsWorked example: absolute and relative extrema
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Relative maxima and minimaGet 3 of 4 questions to level up!
Absolute maxima and minimaGet 3 of 4 questions to level up!
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Increasing, decreasing, positive or negative intervalsWorked example: positive & negative intervals
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Positive and negative intervalsGet 3 of 4 questions to level up!
Increasing and decreasing intervalsGet 3 of 4 questions to level up!
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Graph interpretation word problem: temperatureGraph interpretation word problem: basketball
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Graph interpretation word problemsGet 3 of 4 questions to level up!
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Introduction to average rate of changeWorked example: average rate of change from graphWorked example: average rate of change from tableWorked example: average rate of change from equation
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Average rate of change: graphs & tablesGet 3 of 4 questions to level up!
Average rate of change of polynomialsGet 3 of 4 questions to level up!
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Average rate of change word problem: tableAverage rate of change word problem: graphAverage rate of change word problem: equationAverage rate of change review
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Average rate of change word problemsGet 3 of 4 questions to level up!

About this unit

Functions are mathematical entities that assign unique outputs to given inputs. Sounds simple? Think again! In this topic you will evaluate, graph, analyze, and create various types of functions.