Question

Find the smallest integer a such that the Intermediate Value Theorem guarantees that f(x) has a zero on the interval [0,a].

f(x)=−2x^3+8x^2−6x+7

Step 1

Consider the given function and interval.

Consider the function as *f**(**x**)**=* −*2**x**3** + *8*x**2*− 6*x+**7 and interval *[0, a].

The give polynomial function is continuous over the closed interval [0, a].

*Intermediate Value Theorem:*

Let *f* be a continuous function on the closed interval [*a*, *b*], then if *...*

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