please answer question 5 and 6
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To apply intermediate value theorem to the function f(x) = x2 – 4 and determine why the function must have at least one zero in the interval (-5, -1).
The intermediate value theorem states that for a function continuous f(x) on the interval [a, b] and a real number u lying between the interval f(a) < u < f(b), there exists a constant c in the interval (a, b) such that f(c) = u.
Consider the function f(x) = x‑2 – 4 is a polynomial function which is continuous on the interval [-5, -1].
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