#### MAT-HS.F-IF.02

 MAT-HS Targeted Standards(F) Concept: Function(IF) Domain: Interpreting FunctionsCluster: Understand the concept of a function and use function notation. MAT-HS.F-IF.02 Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.

## Student Learning Targets:

• I can

• I can
• I can

### Skills (Performance) Targets

• I can evaluate functions for inputs in their domains.
• I can interpret statements that use function notation in terms of a context in which they are used.
• I can use f(x) notation when a relation is determined to be a function.

• I can
• I can

## Proficiency Scale

 Score Description Sample Activity 4.0 (advanced) In addition to achieving level 3.0 content, the student makes in-depth inferences and applications that go beyond what was taught If f(x) = –5x + 11 and f(n) = 21, what is the value of n? Explain. Each set of ordered pairs represents a function. Write a rule that represents the function: (-2, 10/9), (-1, 4/3), (0,2),(1,4)(2,10) If f(x) = -3x+7 and g(x) =-7x +3, what is h(x) if h(x)=f(g(x))? 3.5 In addition to Score 3.0 performance, the student demonstrates in-depth inferences and applications regarding the more complex content with partial success. 3.0 (proficient) The student: Can use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context. The student exhibits no major errors or omissions. What is f(–5) for the function f(x) = –9x – 3? Find the range of each function for the given domain.          f(x) = x3 + 1; {–2, –1, 0, 1, 2} In the formula d(t) = rt, explain what r represents, what t represents, and what d(t) represents. How can it be determined if a relation is a function? 2.5 The student demonstrates no major errors or omissions regarding the simpler details and processes (Score 2.0 content) and partial knowledge of the more complex ideas and processes (Score 3.0 content). 2.0 (progressing) There are no major errors or omissions regarding the simpler details and processes as the student: Can use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context. Recognize and recall basic vocabulary such as: Domain Range Function vs. Relation Function Notation However, the student exhibits major errors or omissions regarding the more complex ideas and processes. Find the range of the function for the given domain.              f (x) = –2x + 1; {–2, 0, 2, 4, 6}   Evaluate f(x) = 2x +3 for x = 6 1.5 The student demonstrates partial knowledge of the simpler details and processes (Score 2.0 content) but exhibits major errors or omissions regarding the more complex ideas and procedures (Score 3.0 content). 1.0 (beginning) With help, a partial understanding of some of the simpler details and processes and some of the more complex ideas and processes. - 0.5 With help, the student demonstrates a partial understanding of some of the simpler details and processes (Score 2.0 content) but not the more complex ideas and processes (Score 3.0 content). 0.0 Even with help, the student demonstrates no understanding or skill. -

## Resources

 Web Function Notation WS: Function Notation WS 2: Vocab function notation