Write the Word or Phrase That Best Completes Each Statement $$f ( x ) = x ^ { 3 } - 0.4 x ^ { 2 } - 2.5861 x + 3.0912$$

question 237

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.
- $$f ( x ) = x ^ { 3 } - 0.4 x ^ { 2 } - 2.5861 x + 3.0912$$

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Definitions:

Intestines

Tubular organs within the digestive system responsible for nutrient absorption and waste processing, consisting of two main parts: the small intestine and the large intestine.

Nuclear Medicine

The use of radionuclides, or radioisotopes (radioactive elements or their compounds), to evaluate the bone, brain, lungs, kidneys, liver, pancreas, thyroid, and spleen; also known as radionuclide imaging.

Radioisotope

An atom with an unstable nucleus that emits radiation during its decay to a stable form.

Nonionizing Radiation

Radiation that has enough energy to move atoms around or make them vibrate, but not enough to ionize (remove charged particles such as electrons) atoms or molecules.