Question

6,

Step 1

To show the existence of a solution to the given equation f(x)=0 over the given interval

Step 2

The problem is concerned with applying the intermediate value theorem: If f(x) is a continuous function on an interval [a,b] and if f(a) and f(b) have opposite signs, then there exists a point c in [a,b] such that f(c)=0. (See the graphical interpretation)

Step 3

Apply the intermediate value theorem to our function f(x)=x^5-5x+7 over the interval [-2.-1]. f(x) ...

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