Question

please answer question 5 and 6

Step 1

We’ll answer the first question that is question 5 since the exact one wasn’t

specified. Please submit a new question specifying the one you’d like answered.

To apply intermediate value theorem to the function f(x) = x^{2} – 4 and determine why the function must have at least one zero in the interval (-5, -1).

Step 2

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.*

Step 3

Consider the function *f(x) = x‑2 – 4 *is a polynomial function which is continuous on the interval [-5, -1].

Now...

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