Theory of Intelligence
10TH•Mathematics•Functions•4.1 Function

Students' Learning Outcomes

Definition, operations, composition, inverse, vertical and horizontal line tests; EXERCISE 4.1.

Students' Learning Outcomes

After completing this unit, the students will be able to:

  • Explain operations on functions and compositions of functions.
  • Define inverse functions and demonstrate their domain and range with examples.
  • Formulate composite functions as defined by (f∘g)(x)=f(g(x))(f \circ g)(x) = f(g(x)).
  • Apply concepts from functions to real-world problems (such as finance, transportation and sales).
  • Plot graphs of absolute valued functions.
  • Solve absolute value linear equations and inequalities in one variable and express the solution as a range of values on a number line.
  • Apply concepts of absolute valued functions to real-world problems (such as to calculate energy wave, magnitude and distance).

Discuss theoretical concepts, mathematical formulas, and architectural foundations.

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