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Solve the Problem f(x)=2x47x3+11x4f ( x ) = 2 x ^ { 4 } - 7 x ^ { 3 } + 11 x - 4

question 262

Essay

Solve the problem.
-For the polynomial function f(x) f(x)=2x47x3+11x4f ( x ) = 2 x ^ { 4 } - 7 x ^ { 3 } + 11 x - 4 a) Find the x- and y-intercepts of the graph of f. Round to two decimal places, if necessary.
b) Determine whether the graph crosses or touches the x-axis at each x-intercept.
c) End behavior: find the power function that the graph of f resembles for large values of |x x| x | d) Use a graphing utility to graph the function.Approximate the local maxima rounded to two decimal places, if
necessary. Approximate the local minima rounded to two decimal places, if necessary.
e) Determine the number of turning points on the graph.
f) Put all the information together, and connect the points with a smooth, continuous curve to obtain the graph of f.  Solve the problem. -For the polynomial function f(x)  f ( x ) = 2 x ^ { 4 } - 7 x ^ { 3 } + 11 x - 4  a) Find the x- and y-intercepts of the graph of f. Round to two decimal places, if necessary. b) Determine whether the graph crosses or touches the x-axis at each x-intercept. c) End behavior: find the power function that the graph of f resembles for large values of |x  | x |  d) Use a graphing utility to graph the function.Approximate the local maxima rounded to two decimal places, if necessary. Approximate the local minima rounded to two decimal places, if necessary. e) Determine the number of turning points on the graph. f) Put all the information together, and connect the points with a smooth, continuous curve to obtain the graph of f.

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Definitions:

Sample Mean

The average value of a sample set of data, used as an estimate of the population mean.

Sampling Distribution

The chance distribution associated with a statistic, formulated by extensive samples sourced from a defined population.

Standard Deviation

A metric indicating the degree of spread or diversity among a collection of numbers, determined by taking the square root of the variance.

Sample Mean

The average of a sample set of data, representing an estimate of the population mean.

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