Write the Word or Phrase That Best Completes Each Statement $$f ( x ) = ( x - 3 ) ( x - 1 ) ( x + 2 )$$

question 38

Essay

Write the word or phrase that best completes each statement or answers the question.
Analyze the graph of the given function f as follows:
(a) Determine the end behavior: find the power function that the graph of f resembles for large values of |x|.
(b) Find the x- and y-intercepts of the graph.
(c) Determine whether the graph crosses or touches the x-axis at each x-intercept.
(d) Graph f using a graphing utility.
(e) Use the graph to determine the local maxima and local minima, if any exist. Round turning points to two decimal places.
(f) Use the information obtained in (a) - (e) to draw a complete graph of f by hand. Label all intercepts and turning points.
(g) Find the domain of f. Use the graph to find the range of f.
(h) Use the graph to determine where f is increasing and where f is decreasing.
- $$f ( x ) = ( x - 3 ) ( x - 1 ) ( x + 2 )$$

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Definitions:

Identity

The understanding or concept of oneself, including personal values, beliefs, and characteristics, that forms an individual's self-perception.

Gender Identity

The awareness of one’s own gender assignment and understanding of its meaning.

Gender Constancy

Recognizing the permanency of one’s gender category membership and understanding that it could never change.

Gender Category

A social classification according to which a person is identified as male, female, or another gender, based on attributes, roles, and expectations associated with that category.