polynomial functions test


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Polynomial function
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 ..
Identify the graph with odd-degree polynomial function.
Identify the graph with odd-degree polynomial function. => Graph 3 or Graph 2 and Graph 3 or Graph 1 and Graph 3 or Graph 1..
Match the polynomial function graph to its zeros and multiplicity.
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)..
Polynomials
Properties of Polynomials - Addition and subtraction of two polynomials mean combining like terms. We can perform multiplication and division al..
Polynomial
An algebraic expression of the form a 0 +a 1 x+a 2 x 2 +.+a n x n where a 0 , a 1 , a 2 ,.a n are real numbers, n is a positive integer is called a polynomial in..
Which of the following is the at most number of local extrema of a pol..
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,..
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 who..
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..
Rational function
If P(x) and Q(x) are two polynomials in x, then the ratio of two polynomials, is called a rational function, whe..
Real Functions and their Graphs
(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..
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