Level 4 1. Sketch a quartic polynomial function without using technology for y= f(x) such that f(x) <0 when x<-4 or x>3 and f(x)>0 when -4

Q: If x=1 is a zero of the polynomial function f(x)=3x^3-8x^2+3x+2, which of the following is another…

A: Given that x=1 is a zero of the polynomial function  we have to find other zero of f(x)

Q: Show that f(x) = 2/x2 + 3x4 – 5x6 is an even function

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Q: Show that the function f (x) = (2x2 + 3)3/2 is decreasing for x 6 0 and increasing for x 7 0.

A: Given: f(x)=(2x2+3)32

Q: f(x)%3DX²-2x+5

A:

Q: Show that the function f(x) = 2(x^3)-4(x^2)+5x-4 has a zero between x = 1 and x = 2.

A: Please refer to the image below

Q: let f(g(x)) = 8(9 + 3/x^4+2)^7. Find the following functions.  if f(x) = 8x^7 then what is g(x)?…

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Q: Consider the following. f(x) = x^3 - 3/2x^2 - 23/2x + 6 = 1/2(2x^3 - 3x^2-23 x+12) Find the rational…

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Q: what should n be if f(x) = Xn defineof a polynomial function?

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Q: write a formula for a function h(x), whose graph is identical to the graph of y=x^3 except that the…

A: the given function has to be written as ratio of two polynomials  h(x)=f(x)g(x) the graph has hole…

Q: f(x) = x+1 x-3

A: Given:  fx=x+1x-3To prove: f(x) is 1-1 we know that, If f(x1) = f(x2) then x1 = x2 therefore f(x) is…

Q: how can you figure out the end behavior of the function 1/2(x-1)(x+1)^3(x-2)^2

A: Given:The function is

Q: Find the absolute maximum value and absolute minium value, if any, of the function f(x)=-x^2+4x+4 on…

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Q: Use the numbers x0=1, X2=1.5, and X2=2 to find the second lag-range polynomial to F(x)=1/x+1 Then,…

A: (.) Given,  and  (.) Lagrange polynomial for the function  with  data points  is given by,

Q: Find p(- 2) and p(3) for function p(x) = x ^ 3 - x ^ 5

A: We have given function as  p(x)=x3-x5   We have to find p(-2) And p(3)