types of function

Types of Functions 

1. Based on Algebraic Expression:

1. Linear Function

2. Quadratic Function

3. Polynomial Function

4. Rational Function

5. Exponential Function

6. Logarithmic Function

2. Based on Behavior:

1. One-to-One Function

2. Onto Function

3. Constant Function

4. Identity Function

5. Composite Function

6. Inverse Function

LEARNING OUTCOMES FOR FUNCTION AND GRAPHS 

 1. Understanding Functions

• Define a function and identify its components (domain, range, and rule of correspondence).

• Differentiate between functions and non-functions using definitions and examples.

• Recognize and classify types of functions (e.g., linear, quadratic, polynomial, exponential, logarithmic, trigonometric).

2. Analyzing Graphs

• Sketch and interpret the graphs of basic functions and their transformations (shifts, reflections, stretches, and compressions).

• Identify key features of graphs such as:

  • Intercepts (x-intercepts and y-intercepts)

  • Asymptotes (horizontal, vertical, and oblique)

  • Extrema (maximum and minimum points)

  • Symmetry (even and odd functions)

  •  Behavior as  x→∞ or x→−∞x

LAB ASSESSMENT No:02