Function Notation and Evaluating Functions

Function Notation and Evaluating Functions

Understand the concept of a function and use function notation

MGSE9-12.F.IF.1 Understand that a function from one set (the input, called the domain) to another set (the output, called the range) assigns to each element of the domain exactly one element of the range, i.e. each input value maps to exactly one output value. If f is a function, x is the input (an element of the domain), and f(x) is the output (an element of the range). Graphically, the graph is y = f(x).


MGSE9-12.F.IF.2 Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.

Learning Target: 

  • I can identify the domain and range of a function

  • I can determine if a relation is a function

  • I can determine the value of the function with proper notation (i.e. f(x) = y, the y value is the value of the function at a particular value of x)

  • I can evaluate functions for given values of x

Success Criteria: 

  • I can define and identify domain and range.

  • I can define a relation.

  • I can solve equations using substitution. 

Daily 10 Warm up

Instructional Strategies:

  • Opening (I do): I will define vocabulary needed Relation, input, output, domain, range.  Talk about what can be a function in our classroom, ie.  birthday, shoe size, height, students will work through guided examples in power point on functions. 

  • Work Session (We do-You do): students will work to identify a function vs a relation, writing in function notation, and evaluating functions. 

  • Closing (We check): we will come back together to go over the answers as a group, students will work problems together on the board. 

Differentiation Strategies: Scaffolding throughout lesson and applications will be provided for rigor. Students will work with pairs at some points throughout the assignment.

Formative/Summative Assessment(s) (We check): 

  • How can you identify the difference between a function and a relation? 

  • What are several real-world examples of functions? 

  • What purpose does function notation serve in a given problem? 

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