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

question 10

Essay

Solve the problem.
-For the polynomial funct $f ( x ) = 2 x ^ { 4 } - 7 x ^ { 3 } + 11 x - 4$
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|.
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.

---

Definitions:

Compensation Satisfaction

The degree of contentment an employee feels regarding their financial and non-financial rewards for their job.

Context Satisfaction

Context satisfaction refers to an individual's satisfaction with aspects of their work environment outside of the job itself, such as company culture, work conditions, and management practices.

Autonomy

The degree to which a job provides the employee with the discretion and independence to schedule their work and determine how it is done.

Motivating Potential Score

A measure used to evaluate the motivational properties of jobs based on five core job dimensions, intending to predict job satisfaction and motivation.