Interpreting Key Features of Quadratic Functions (2.2.1)

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Presentation transcript:

Interpreting Key Features of Quadratic Functions (2.2.1) October 6th, 2016

Vocabulary Increasing: The interval of a function for which the output values are getting larger as the input values get larger. Decreasing: The interval the a function for which the output values are getting smaller as the input values get larger. Concave up: Arched upward (which results in a quadratic function having a minimum). Concave down: Arched downward (which results in quadratic function having a maximum). Inflection point: The point where a graph switches it’s concavity.

End Behavior: The behavior of a graph as x approaches positive and negative infinity. Odd Function: A function such that , results in a graph that is symmetric about the origin. Even Function: A function such that , results in a graph that is symmetric about the y-axis.

Ex. 1: For the following function, graph the function in order to answer the following questions. a) What are the x-values for which the function is increasing? Decreasing? b) What is the maximum or minimum value of a function? c) What are the intercepts? d) Is the function even, odd, or neither?

Ex. 2: A function has a minimum value of -8 and x-intercepts of -2 Ex. 2: A function has a minimum value of -8 and x-intercepts of -2.3 and 7.9. What is the value of x that minimizes the function? For what values of x is the function increasing? Decreasing?

Extra Practice