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:

Conditioned Stimulus

An initially neutral stimulus that, after being associated with an unconditioned stimulus, elicits a conditioned response.

Unconditioned Stimulus

A stimulus that naturally triggers a reflexive response without any prior learning in classical conditioning.

Little Albert

Little Albert was the subject of an experiment by John B. Watson, demonstrating that classical conditioning could induce a fear response in humans.

Psychologists

Professionals in the field of psychology who study mental processes and behavior in humans and animals, often providing mental health care and counseling.