Evaluating problems

Question

If f(x) is a continuous function defined for all real numbers, f(-1) = 1, f(-5) = -10, and f(x) = 0 for one and only one value of x, then which of the following could be that x value?

Options:

1. -6
2. -5
3. -4
4. 0

Answer 1

Given that:

f(x) is continuous and defined for all real numbers,

f(-1) > 0,

f(-5) < 0,

f(x) = 0 for one and only one value of x;

then x must be between -5 and -1.