Piecewise functions Study guides, Class notes & Summaries
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One-Sided Limits
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One-Sided Limits: 
Shows examples one-sided limits (denoted by a superscript of a positive or negative sign and their work. Also includes examples of piecewise functions and functions with vertical asymptotes.
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Bayesian Unit Root Test for AR(1) Model with Trend Approximated by Linear Spline Function
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Bayesian Unit Root Test for AR(1) Model with Trend 
Approximated by Linear Spline Function 
Jitendra Kumar1,∗ 
, Varun Agiwal1 
, Dhirendra Kumar1 
, and Anoop Chaturvedi2 
1Department of Statistics, Central University of Rajasthan, Bandarsindri, Ajmer, India 
2Department of Statistics, University of Allahabad, Allahabad, India 
Abstract The objective of present study is to develop a time series model for handling the non-linear trend 
process using a spline function. Spline function is a piec...
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Algebra 2 Notes
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Full Algebra 2 notes explaining Functions - Notation, Simplifying, Solving, & Analyzing Graphs, Parent Functions – Transformational Graphing, Simplification, & Piecewise Functions, Quadratic Functions, Polynomial Functions, Rational Functions, and Exponential and Logarithmic Functions.
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EECS16B Designing Information Devices and Systems II Homework 03 spring 2023 Revised Questions &Correct Answers.
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EECS16B Designing Information Devices and Systems II Homework 03 spring 2023 Revised Questions &Correct Answers. 
1. Reading Lecture Notes 
Staying up to date with lectures is an important part of the learning process in this course. Here are links to 
the notes that you need to read for this week: Note 2 and Note 3A 
(a) How do we deal with piecewise constant inputs as introduced in the notes? 
Solution: For piecewise constant inputs, we can just treat them in the same way that we dealt with 
c...
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MATH 111 Class Notes
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Providing further information on functions and their graphs, including: 
1. Identify intervals on which a function increases, decreases, or is constant. 
2. Use graphs to locate relative maxima or minima. 
3. Test for symmetry. 
4. Identify even or odd functions and recognize their symmetries. 
5. Understand and use piecewise functions. 
6. Find and simplify a function's difference quotient.
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CALCULUS FINAL EXAM fully solved & updated
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evaluate the integral 2/1, ln(x)/x dx - answer-(ln2)^2/2 
 
consider the function f(x)=x^4-4x^3. which of the following is NOT true - answer-f has a local extrema at x=0 and x=3 
 
find the work done by a force F=sqroot 2x+1 N to move an object along a straight path from a distance of 0 meters to a distance of 4 meters - answer-26/3 J 
 
an object is moving along the x-axis. Let s(t), v(t) and a(t) be functions giving the position, the velocity, and the acceleration of the object at time t. whic...
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Evaluating Functions
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LEARNING OBJECTIVES At the end of the lesson, you are expected to: 
1. Evaluate Piecewise, Rational, Exponential and Logarithmic Functions.
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MATH 111 Class Notes
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Understanding the basics of functions and their graphs, including: 
1. Finding the domain and range of a relation. 
2. Determine whether a relation is a function. 
3. Determine whether an equation represents a function. 
4. Evaluate a function. 
5. Graph functions by plotting points. 
6. Use the vertical line test to identify functions. 
7. Identify the domain and range of a function from its graph. 
8. Identify intercepts from a function's graph. 
 
Further information on functions and thei...
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Class notes MATH 129 (MATH129) Calculus
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This document contains all the topics covered in Chapter 1 (except 1.5) with examples for each topic.
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Chapter 3 Unit Test Notes
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This is the back side of the Chapter 3 Cheat Sheet. It includes examples and written explanations of each of the following: 
- piecewise functions 
- equations 
- finding equation from graph 
- solving absolute value 
- sketching piecewise functions
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