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calculus

given the function f(x)= x^4 -3x^3 -2x^2 + 5x + 1 use the intermediate value theorem to decide which of the following intervals contains at least one zero, select all that apply (4 answers)
a) [-2,-1]
b) [-1,0]
c) [0,1]
d) [1,2]
e) [2,3]
f) [3,4]

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water bottle

  1. (a) f(-2) = 23 and f(-1) = -2
    Since f(x) is continuous, there is no way to get from f(x) = 23 to f(x) = -2 without having f(x)=0 somewhere in the interval [-2,-1]

    Now do the others in like wise
    To confirm your answers graph the function and see where it crosses the x-axis.

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    oobleck

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