The given polynomial function is P(x) = 2x(x+1)(x-2) =2x(x2-x-2) = 2x3-2x2-4x.
A graph of P(x) is attached. The graph resembles the one shown in Option D.
The answer is D.
6 16 Graph the polynomial function. (2 Points) P (x) = 2x (x + 1) (x-2)...
11. For parts (a-c) consider the polynomial function(x) = -2x²(x - 4)'(x - 1)*(x + 2). [10 Points) (a) What is the degree of the polynomial function? (b) List the zeros of the function in the table provided below and state the multiplicity of each zero. Describe the behavior of the graph at each of the zeros. Does the graph Touch/Cross at each zero? Zero Multiplicity Touch/Cross of 2 -6 -4 -2 -21 (c) Provide a rough sketch of the...
16. (8 points) Consider the following possible rough sketch of the graph of a polynomial function. Which of the following polynomial functions most closely matches the above graph? (a) plz) = (z + 4)(z + 2)(z-1)(z-3) (b) p@) = (z + 4)(z + 2)(3.? + 1) Clearly CIRCLE your answer, and below, use 1-2 sentences to JUSTIFY your answer, citing the specific features of the graph that distinguish your choice from the other choices.
A polynomial function and its graph are given. P(x) = 2x4 – 2x2 - 6x2 + 2x + 4 LLLL X 3 (a) List all possible rational zeros of P given by the Rational Zeros Theorem. (Enter your answers as a comma-separated list.) x= -1,1, - 1, ,2 2 (b) From the graph, determine which of the possible rational zeros actually turn out to be zeros. (Enter your answers as a comma-separated list. Enter all answers including repetitions.) x= -1.1.2
Question 16 (6 points) Compute the THIRD Taylor polynomial at a-1 for the following function: f(x) = 23 - 22 + 3x - 1
The graph of a polynomial function is given to the right on the basis of the graph answer the following questions a) Find as many factors of the polynomial as possible b) Construct a polynomial function with the zeros shown in the graph, c) Is it possible to find any other polynomial functions with the given zeros? d) Is it possible to find any other polynomial functions with the given zeros and the same graph? a) The factor(s) is/are D...
Exercise 2.5: Function and exponents 1. Graph the functions a) y = 16 + 2x b) y = 8 – 2x c) y = 2x +12 (In each case, consider the domain as consisting of nonnegative real numbers only) 5. Condense the following expressions: b) x^a\times x^b\times x^c c){\ \ x}^3\times y^3\times z^3 6. Find: b) \left(x^{1/2}\times x^{1/3}\right)/x^{2/3}
For the function f(x) = e 2x, which of the following polynomials is the 2nd degree Taylor polynomial for f(2') at the point I = 0? 1) P(x) = 1-2+x2 2) P2 (3)=1-23 +22 3) P3(x) = 1 - 2.c + 2x2 4) P4(x) = 1 + 2x + 2x2 O Polynomial in 3) Polynomial in 1) O Polynomial in 2) O Polynomial in 4)
question starts with P(x) = -2x^3(x-1)(2x^2+1). I was then supposed to express the polynomial in general form and got -4x^6 + 4x^5 - 2x^4 + 2x^3. Then asked to determine the left and right end behavior which I did. What I'm suck on is the final part which is "Find the x-intercepts, if any.". I know im supposed to set y to zero, but I cant figure this one out. I cant find out how to factor it, im stuck....
Construct a polynomial function that might have the given graph. У. 4 2+ f X -4 -2 -2 -4+ 1 O A. f(x) = (x+4)(x + 2)(x-2) 16 B. f(x) = F(x (+4)(x + 2)(x - 2)2 16 1 D. f(x); ta (x + (x + 4)2(x + 2)(x - 2)2 C. f(x) = 16(x+4)(x + 2)2(x - 2) O E. f(x) = - 48 (x +416 -(x + 4)(x + 2)2(x - 2) 1 OF. f(x) (x+4)(x + 2)(x...
3.1.115 Analyze the polynomial function f(x) = xº + x2 - 2x. Answer parts (a) through (@). (Hint: First factor the polynomial.] (a) Determine the end behavior of the graph of the function. The graph off behaves like y=for large values of