In this chapter, we will be learning about functions.
Functions are mathematical relationships between two sets of numbers, where each input has exactly one output.
We will learn how to represent functions using graphs and mathematical notations.
We will also learn how to determine the domain and range of a function, which are the set of possible inputs and outputs, respectively.
Additionally, we will explore composite functions, which are functions that are formed by combining two or more functions.
Lastly, we will study inverse functions, which are functions that "undo" the original function.
• Explain function using graphical representations and notations
• Determine domain and range of a function
• Determine the image of a function when the object is given and vice versa
• Describe the outcome of composition of two functions
• Determine the composite functions
• Determine the image of composite functions given the object and vice versa
• Determine a related function given composite function and another function
• Solve problems involving composite functions
• Describe inverse of a function
• Make and verify conjectures related to properties of inverse functions
• Determine the inverse functions
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