III. Verify if the function is continous at the point. 1. f(x) = x³ – 2x² + x – 5 at x = 0

5. Find the values of x where the graph of the function has a point of inflection. Given: f(x)=x²-x³ A. x = 0 C. x = 0, x = ²/² B. x = 0, x= -1/2 D. x = ²/1/2 2

= mx + b. 4. Let m and b be real numbers, and consider the following three functions: f(x) = 2x + 1, g(x) x + 2, and h(x) A. If function f has a codomain of (5, 7) U (7, 9), the largest its domain can be chosen is (2, 3) U (3, 4). Explain. B. If function g has a codomain of (−1, 1) U (1, 3), the largest its domain can be chosen is (-3, 3) U (3, 9). Explain. C. Within the context of the e- definition of a limit, your result from part A suggests that if € is equal to 2, the largest that can be chosen for function f(x) is 1. Explain. =

q.2     Either f(x) a graphically defined function.   Choose all points in the domain of f(x) (values of x) where f(x) is not continuous.