Evaluate f(x)=x3−5x2+3x+6\displaystyle {f{{\left({x}\right)}}}={x}^{{3}}-{5}{x}^{{2}}+{3}{x}+{6}f(x)=x3−5x2+3x+6 at 1 and 3 to determine if the Intermediate Value Theorem guarantees that a zero exists between the two values.
a) f(1) = Preview Question 6 Part 1 of 3
b) f(3) = Preview Question 6 Part 2 of 3
c) Does the Intermediate Value Theorem guarantee that a zero exists between 1 and 3?
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