Quiz – The Bisection Method for root finding

c = (a+b)/2

c=(a-b)/2

c = (a · b)/2

If a function f(x) is continuous on an interval [a, b] and f(a)·f(b) < 0, then a value c ∈ (a, b) exist for which f(c) = 0.

If a function f(x) is continuous on an interval [a, b] and f(b) - f(a) < 0, then a value c ∈ (a, b) exist for which f(c) = 0.

If a function f(x) is continuous on an interval [a, b] and f(a)·f(b) < 0, then a value c ∈ (a, b) exist for which f(c) > 0.

\[{n \ge \frac{log\left (\frac{b-a}{\varepsilon}\right )}{log(2)}}\]

\[{n \ge \frac{log\left (\frac{b-a}{2}\right )}{log(\varepsilon)}}\]

\[{n \ge \frac{log\left (\frac{b+a}{\varepsilon}\right )}{log(2)}}\]

A root is the value for which the function is different than zero (0).

A root is the value for which the function's plot intersects the axes origin (0, 0).

A root is the value for which the function is zero (0).

A function which for small changes in the argument outputs also small changes of the result.

A function which plots on straight lines.

A function which for small changes in the argument outputs big changes of the result