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College Algebra Graded Homework #6
Show your work on notebook paper. Record the final
answers onto this sheet.
Determine whether the function is a polynomial function . (Write YES or NO)
Find the degree of the polynomial function.
f(x) is degree
Find the x- intercepts of the polynomial function. State whether the graph crosses the x-axis, or touches the x-axis and
turns around, at each intercept.
Find the y- intercept of the polynomial function.
Use the Leading Coefficient Test to determine the end behavior of the polynomial function. (You can explain the end
behavior in words or draw a "picture box" illustrating the behavior at the ends.)
11) A herd of moose is introduced to a wildlife refuge. The number of moose , N(t), after t years is described by the
polynomial function . Use the Leading Coefficient Test to determine the graph's end
behavior. Write a sentence to explain what this means about what will eventually happen to the moose
Find the zeros of the polynomial function.
Write the equation of a polynomial function with the
given characteristics. Use a leading coefficient of 1 or -1 and make
the degree of the function as small as possible.
15) Crosses the x-axis at -4, 0, and 1; lies above the x-axis between -4 and 0; lies below the x-axis between 0 and 1.
16) Suppose that a polynomial function is used to model the data shown in the graph below .
Determine the degree of the polynomial function of best
fit and the sign of the leading coefficient.
The polynomial will be degree with a lead coefficient.
17) The profits (in millions) for a company for 8 years were as follows:
Which of the following polynomials is the best model for this data?
Graph the polynomial function. Be sure to put an
appropriate scale on the graph. Label the x-intercepts and the
Complete the following:
(a) Use the Leading Coefficient Test to determine the graph's end behavior.
(b) Find the x-intercepts. State whether the graph crosses the x-axis or touches the x-axis and turns around at each
(c) Find the y-intercept.
(d) Graph the function.
Divide using long division.
Divide using synthetic division .
The solutions are
Use the graph or table to determine a solution of the equation. Use synthetic division to verify that this number is a
solution of the equation. Then solve the polynomial equation.
The solution(s) to the polynomial are