10 Basic Functions and Transformations Quiz Review



10 Basic Functions and Transformations Quiz Review

Know the 10 basic functions and their graphs. Be able to answer questions about their properties (increasing/decreasing, extrema, end behavior and asymptotes). Be able to graph the functions (key points such as x- and y-intercepts are important) and be able to identify the graphs.

Write the equation for the graphs shown below.

1. 2.

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Describe how the graph of y = lnx would be transformed by the following equations.

3. y = 3ln(2 – x) 4. y = -2ln(x – 3) + 1

Sketch the graph of the following functions.

5. [pic] 6. y = –2|x + 2| + 3

To the right is the graph of y = f(x).

7. Sketch a graph of y = -2f(x + 1) 8. Sketch a graph of y = f(1 + x) – 4

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