I can help you understand concepts related to functions and their graphs! Here are some key topics you might need to study for your unit test:
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Types of Functions: Understand linear, quadratic, polynomial, rational, exponential, and logarithmic functions. Know their general forms and characteristics.
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Graphing Functions: Be familiar with how to sketch the graphs of different types of functions, including identifying key features like intercepts, slopes, asymptotes, and end behavior.
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Transformations: Know how shifting, reflecting, stretching, and compressing a function affects its graph. For instance, how the graph of \( f(x) + k \) shifts vertically or how \( f(x - h) \) shifts horizontally.
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Function Composition: Understand how to combine functions by composition (\( (f \circ g)(x) = f(g(x)) \)) and how that affects the graph.
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Inverse Functions: Be familiar with how to find an inverse function and how to graph it. A graph of a function and its inverse are symmetric about the line \( y = x \).
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Domain and Range: Know how to determine the domain and range of different functions, and be prepared to describe restrictions.
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Intervals of Increase/Decrease: Identify where a function is increasing or decreasing, as well as where it is positive or negative.
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Finding Roots and Intercepts: Learn how to find and interpret x-intercepts and y-intercepts of the graph.
If you have specific questions or concepts you're struggling with, feel free to ask!