MATH 1151 Exam Solutions Fall 2018: Asymptote, Intermediate Value Theorem, Squeeze Theorem

• School: Ohio State University
• Department: Mathematics
• Course: MATH 1151
• Professor: All

Document Summary

Derivative of a function at a point is the same as slope of that function at that point. The limit definition of derivative function is an important concept to know. Using the limit definition, it is possible to find the derivative of the function. If you do not know the formula for the derivative of the function, it might be worth trying to use limit definition. However, f(1) evaluates to -3, which is not equal to limit values when x approaches to 1 from left or r ght. From the graph it is clear that f is linear in that range with slope 1 (as it intersects the points (0, 0) and (1, 1)). (iii) There is a vertical asymptote at x=4 as f(x) goes to -(cid:955)(cid:3)when x approaches to 4 from right. Concepts such as range and domain of a function are important to know.