A continious function y = f(x) is known to be negative at x = 6 and positive at

Question

A continious function y = f(x) is known to be negative at x = 6 and positive at x = 9. Why does the equation f(x) = 0 have at least one solution between x = 6 and x = 9? Illustrate with a sketch. Why does the equation f(x) = 0 have at least one solution between x = 6 and x = 9? f(x) = 0 has at least one solution between x = 6 and x = 9 because f is a continious function on the closed interval [6, 9], and if f(c) is any value between f(6) and f(9), then f(c) = -1 for some c in [6.9]. f(x) = 0 has at least one solution between x = 6 and x = 9 because f is a continious funtion on the closed interval [6, 9], and if f(c) is any value between f(6) and f(9), then f(c) = -1 for some c in [6, 9]. f(x) = 0 has at least one solution between x = 6 and x = 9 because f is a continious function on the closed interval [6, 9], and if f(c) is any value between f(6) and f(9), then f(c) = 0 for some c in [6, 9].

Explanation / Answer

c

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