# Calculus HW files are attached.

Calculus HW files are attached.

Calculus HW files are attached.
QUIZ 2.1,2.2, 2.3, 2.5 Scan & Upload as a SINGLE PDF – Answer all questions & show your work Name ____________________________________________________________________ Purpose: This 10 -point assignment from Sections 2.1 -2.5 asks you to understand the role of limits in Calculus, and to recognize , both graphically and analytically, whether they exist or not at a particular point. Context: Calculus has three BIG ideas: limits, derivative, and integrals . Derivative have limits as part of their definitions. Integrals are based on derivatives. So we start with LIMITS . Calculus is often called the mathematics of change. In preparation for a discussion of limits and derivatives, we look at the “tangent problem” and two types of rate of change: average and instantaneous Criteria for Grading: Show your work . Remember: To find the average rate of change, use the slope formula. To find a limit graphically, review piecewise functions and look at the one -sided limits. To find a limit analytically, remember to check for an indeterminate form, and to use factoring or other techniques. To determine continuity, check all three criteria listed in the problem. 2.1 Average Velocity & Instantane ous Velocity 1. 2.2 Finding Limits Graphically (if they exist) 2. 2.3 Finding Limits Analytically: 3. 4. 2.5 Continuit y v 5. Determine whether the following is continuous : 1. ( ) is defined 2. lim ( ) exists 3. lim ( ) = ( ) xa xa fa fx f x f a → →