POLYNOMIAL FUNCTIONS/GRAPHS precalculus homework
cjeystanlsy
polynomial_functions.docx1) Form a polynomial whose real zeros and degree are given.
Zeros:
minus−44,
0,
11;
degree: 3
Type a polynomial with integer coefficients and a leading coefficient of 1.
f(x)equals=
(Simplify your answer.)
2) Form a polynomial whose zeros and degree are given.
Zeros:
negative 3−3,
multiplicity 1;
negative 4−4,
multiplicity 2; degree 3
Type a polynomial with integer coefficients and a leading coefficient of 1 in the box below.
f(x)equals=nothing
(Simplify your answer.)
For the polynomial function below: (a) List
each real zero and its multiplicity. (b) Determine
whether the graph crosses or touches the x-axis at each x-intercept. (c) Determine
the behavior of the graph near each x-intercepts. (d) Determine
the maximum number of turning points on the graph. (e) Determine
the end behavior; that is, find the power function that the graph of f resembles for large values of |x|
f(x) = - 7(x – 4)(x + 5)^2
(Type each answer only once. Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
For the polynomial function below: (a) List
each real zero and its multiplicity. (b) Determine
whether the graph crosses or touches the x-axis at each x-intercept. (c) Determine
the behavior of the graph near eachx-intercept. (d) Determine the maximum number of turning points on the graph. (e)Determine the endbehavior, that is, find the power function that the graph of f resembles for large values of |x|
f(x) = -6(x^2 + 4)(x – 7)^3
(Type each answer only once. Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
