AFA.FGR.3.4

Utilize function notation to represent a functional relation and to evaluate functions.

Example Problems
Bella monitors the number of tasks completed by her work team each day.

models the number of tasks completed on day d.

Make an algebraic equation that represents this idea:
When day 7 ended, the team had completed 10 more tasks than on day 2.
Elena weighs her newborn kitten once a week.

models the kitten's weight (in grams) at w weeks old.

Write a mathematical expression using function notation for the following statement:
At 8 weeks old, the kitten weighed 60 grams more than at 3 weeks old.
Hailey records her total minutes of jogging each day for a month.

models the number of minutes she jogs on day of the month.

Write a mathematical expression using function notation for the following statement:
She jogged fewer minutes on day 20 than on day 5.
Khan Academy Resources
Intro to inverse functionsEvaluate functionsEvaluate function expressionsFunction rules from equationsFunction notation word problemsEvaluate inverse functionsFinding inverses of linear functionsIntro to inverse functionsFinding inverse functions: linearWorked example: Evaluating functions from equationWorked example: matching an input to a function's output (equation)Graphing the inverse of a linear functionWhat is a function?Worked example: two inputs with the same output (graph)Worked example: evaluating expressions with function notationWorked example: matching an input to a function's output (graph)Evaluating sequences in recursive formWorked example: Evaluating functions from graphInputs & outputs of inverse functionsFunction notation word problem: beachFunction notation word problem: bank
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