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Unit 2 - Functions and Their Graphs

 

Unit 2:  FUNCTIONS AND THEIR GRAPHS  (14 Days)

By the end of this unit, you should be able to say “I CAN”…

Goal: The students will demonstrate the ability to solve equations and use function notation. The students will develop skills in constructing and interpreting graphs of functions.

 

a. Solve linear, quadratic, absolute-value, radical, and fractional equations.

b. Determine whether a relation is a function.

c. Determine the domain of a function.

d. Evaluate piecewise-defined and greatest integer functions.

e. Analyze graphs to determine domain and range, local maxima and minima, and intervals where they are increasing and decreasing.

f. Find the vertex and intercepts of a quadratic function and sketch its graph.

g. Transform graphs of parent functions.

h. Determine whether a graph is symmetric with respect to the x-axis, y-axis, and/or origin.

i. Perform addition, subtraction, multiplication, division, and composition of functions.

j. Define inverse relations and functions and determine whether an inverse relation is a function.

k. Verify inverses using composition.