A number a is called a fixed point of a function f if f(a) = a. Prove that if f'(x) ≠ 1 for all real numbers x,then f has at most one fixed point.

Suppose that f(x) is a function with f( – 1) = - 9 and f(3) = 9. Determine which choice best describes the following statement. "f(x) = 0 for some x in the interval [-1, 3]" | Always false Always true Sometimes true and sometimes false

2. The zeros of a function f(x) are 3 and 4, while the zeros of a second function g(x) are 3 and 7. What are the zero(s) of f(x) ? g(x) the function } = ✓✓✓

Let the function f: RR be defined by 1 x2, f(x) = { x=0, x = 0.