analyzing polynomial functions

A function f : R R is said to be a polynomial function if for each x R, f(x) is a polynomial in x. f(x) = x 3 + x 2 + x ..

Which of the graphs represents an odd-degree polynomial function? => Graph 2 or Graph 3 or Graph 1 and Graph 3 or Graph 2 and Graph 3..

Match the polynomial function graph to its zeros and multiplicity. => - 3 (multiplicity 3); 2 (multiplicity 2) or - 3 (multiplicity 2); 2 (multiplicity 3) or - 3 (multiplicity 3); 2 (multiplicity 3) or - 3 (multiplicity 3); 1 (multiplicity 2)..

Which of the following is the at most number of local extrema of a polynomial function of degree 5? => 5 or 10 or 25 or 4..

Which of the following polynomial functions has leading coefficient 3, degree 3 and - 1, 3 and 5 as real zeros? => f ( x ) = 3 x 3 - 21 x 2 + 21 x + 45 or f ( x ) = 3 3 - 21 x 2 + 2 x - 2 or f ( x ) = 3 3 - 21 x 2 - 21 x - 45 or f ( x ) = 3 x 3 - 21 x 2 + 21 x - 25..

Find a polynomial function in standard form with real coefficients whose zeros are 3 and - 5 and multiplicity is 2 and 2. => f(x ) = x 4 - 2 6 x 2 + 2 2 5 or f(x ) = x 4 + 4 x 3 - 2 6 x 2 - 6 0 x + 2 2 5 or f(x ) = x 4 + 4 x 3 - 6 0 x or f(x ) = x 4 + 2 6 x 2 + 2 2 5..

If P(x) and Q(x) are two polynomials in x, then the ratio of two polynomials, is called a rational function, whe..

(x) of x under f is called the value of 'f ' at x. Types of Function and their Graphs: Constant function, Identity function, Polynomial function, Modulus function, Square root function, Greatest integer function or Step..

Here p(x) and q(x) are real polynomials. (i) Every function from A to B is a relation from A to B (ii) A relation from A to B is a function from A to B only when (a) each element of A is the first element of some element in R and (b) no element of A is the first elemen..

Select the polynomial function with leading coefficient 4, degree 4, and zeros - 3, - 1, 0 and 5 2 . => f ( x ) = 4 x 4 + 6 x 3 + 28 x 2 + 30 x or f ( x ) = 4 x 4 + 6 x 3 - 28 x 2 - 60 x or f ( x ) = 4 x 4 + 6 x 3 + 28 or f ( x ) =..