Classify the polynomial as constant, linear, quadratic, cubic, or quartic, and determine the leading term, the...
Determine whether the scatter plot should be modeled by a linear, power, quadratic, cubic, or quartic function. y 10 . . . • 1 2 4 6 8 10
Determine if each of the following is polynomial. If so, find the leading coefficient and degree. If not, explain why. a) r(t)=5t^-1 b) f(x)=7x+9 c) m(x)=6x+x^-3+15 d) h(x)= (3x-9)/(2x+7) e) t(x)=(2/3)x^2-8x+13 f) y(x)=3x+4ROOTx+11
Consider the polynomial below. 7x2 - 2x + 1 (a) Determine the number of terms. terms (b) Determine the leading term. (c) Determine the leading coefficient. (d) Determine the degree of the second term. (e) Determine the degree of the polynomial. (f) Determine the constant term.
Determine whether the following function is a polynomial function. If the function is a polynomial function, state its degree. If it is not tell why not. Write the polynomial in standard for FOR = 8x?-o? Determine whether Fx) is a polynomial or not. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A It is not a polynomial because the variable x is raised to the power, which is not a...
Q(x) = 2(x-3)2(x2+3) Determine whether G(x) is a polynomial or not. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A His a polynomial of degree 4. (Type an integer or a fraction.) OB. It is not a polynomial because the variable x is raised to the power, which is not a nonnegative integer (Type an integer or a fraction) OC. It is not a polynomial because the function is the ratio...
For the function G(x) = 5 – x?, find G( – 3), G(u), and G(u?). G(-3) = (Simplify your answer.) G(u) = (Simplify your answer. Do not factor.) G(u?) = (Simplify your answer. Do not factor.) State (a) the degree and (b) the leading coefficient of the given polynomial function. F(x) = 3x3 +3x² - 4 (a) The degree of the polynomial function is (b) The leading coefficient of the polynomial function is . Find the domain of the function....
Classify the quadratic form below. Then make a change of variable, x= Py, that transforms the quadratic form into one with no cross-product term. Write the new quadratic form. -5x2 - 12x4x2 What is the most precise classification for the quadratic form? O A. Positive definite O B. Indefinite O C. Negative semidefinite OD. Positive semidefinite O E. Negative definite The new quadratic form is y'Dy=N.
Use the Leading Coefficient Test to determine the end behavior of the graph of the given polynomial function f(x) = - 6x4 + 5x? - - X+7 Choose the correct answer below. O A. The graph of f(x) falls to the left and falls to the right OB. The graph of f(x) falls to the left and rises to the right O C. The graph of f(x) rises to the left and rises to the right OD. The graph of...
Examine the leading term and determine the far-left and far-right behavior of the graph of the polynomial function. (Select all that appli P(x) = -9x5 - 6x3 - 19x2 + 8 up to the far left down to the far left up to the far right down to the far right Find f-1(x). f(x) = x-1, x2 1 f-1(x) = State any restrictions on the domain of f-1(x). Ox>-1 O x 20 O x 21 x 0 O x #...
Find the complete factored form of the polynomial f(x) that satisfies the given conditions. Degree 3, leading coefficient -5, zeros at 9,2-8 i and 2 +8 i. O A. f(x)= - 5(x- 9)(x2 - 4x +68) OB. f(x) = -5(x +9)(x - 2 - 8i)(x - 2 +81) O c. f(x) = -5(x -9)(x - 2 - 8 i)(x - 2 + 8 i) OD. f(x) = - 5(x +9)(x2 - 4x+68)