Understanding Piecewise Functions

Jan 17, 2024

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Learn how to graph and determine the height and length of piecewise functions. Discover how to find x-intercepts and determine where the graph is on or above the x-axis.

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length
xintercepts
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Understanding Piecewise Functions

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Section 1.2
Piecewise Functions • Graph each function on the given domain • Be careful of open and closed circles
Height and Length of Functions • Height = top function minus bottom function • Length = right function minus left function
f(x) 0 • Graph the function • Find the x-intercepts of the function • X-values only • Where is the graph on and above the x-axis • Write your answer in interval notation

Section 1.2

Relation. A relation is a correspondence between the first set, called the domain, and a second set, called the range, such that each member of the domain corresponds to at least one member of the range.Domain: set of all values of xRange: set of all values of y. Function. A function is a co

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Section 1.2

Section 1.2. Data Classification. Objectives. Classify data as qualitative or quantitative; as discrete, continuous, or neither; and by the level of measurement . . Example 1.4: Classifying Data as Qualitative or Quantitative.

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Section 1.2

Section 1.2. Data Classification. Objectives. Classify data as qualitative or quantitative; as discrete, continuous, or neither; and by the level of measurement . . HAWKES LEARNING SYSTEMS math courseware specialists. Introduction to Statistics 1.2 Data Classifications.

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SECTION 1.2

SECTION 1.2. OVERTIME PAY. objective. Figure out: Straight-time pay Overtime pay Total pay. KEY WORDS TO KNOW. OVERTIME PAY (p. 94) Extra pay for hours worked beyond regular hours. TIME AND A HALF (p. 94) An overtime pay rate of 1 ½ times more than the regular hourly rate .

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Section 1.2

Section 1.2. Introduction to Limits. Definition of Limit. If f ( x ) becomes arbitrarily close to a unique number L as x approaches c from either side, the limit of f ( x ) as x approaches c is L . This is written as.

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Section 1.2

Estimation, Graphs, and Mathematical Models. Section 1.2. Objectives. Use estimation techniques to arrive at an approximate answer to a problem. Apply estimation techniques to information given by graphs. Develop mathematical models that estimate relationships between variables. Key Term.

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Section 1.2

Section 1.2. Geography. Places and Regions. Geographers identify three types of regions: Formal A region defined by a common characteristic, such as production of a product. - The wheat belt in the prairies is a formal region because wheat is its major crop.

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Section 1.2

Section 1.2 . Analyzing Data. Let’s first consider individual data such as quiz scores or hourly wages for different jobs, such as this 1992 data of hourly wages. Manufacturing Mining Construction Transportation Whole Trade Retail Trade Finance Service

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Section 1.2

Section 1.2. Points, Lines, and Planes. Definitions:. A point is a location. It has no size, represented by a small dot and named by a capital letter. Space is the set of all points.

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Section 1.2

Section 1.2. Propositional Equivalences. Equivalent Propositions. Have the same truth table Can be used interchangeably For example, exclusive or and the negation of biconditional are equivalent propositions:. p q p  q p  q  (p  q) T T F T F

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Section 1.2

Section 1.2. function domain & range family of functions symmetry even function vs odd functions. Definitions. Function For each input (called x), there is exactly one output for f(x) How do you determine if a graph, equation, or set of data represents a function? Domain

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Section 1.2

Section 1.2. The Court System and Trial Procedures. Section 1.2 The Court System and Trial Procedures. The United States has two major court systems: the federal and the state courts. The power a court has to hear a case and make a judgment is called jurisdiction.

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Section 1.2:

Section 1.2:. Measurement. Section. Mathematics and Physics. 1.1. Scientific Methods. Making observations, doing experiments, and creating models or theories to try to explain your results or predict new answers form the essence of a scientific method.

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Section 1.2

Section 1.2. Finding Limits Graphically and Numerically. What is a limit?. Finding limits numerically. F(x) = (x 2 – 3x + 2)/(x – 2). Finding limits graphically:. Finding limits:. Find. Limits that fail to exist:. 1). Limits that fail to exist:. 2) 3). Limits that fail to exist:.

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Section 1.2

Section 1.2 . Your healthy, a ctive b ody. 1.2.1 Physical Activity and your healthy mind and body. 1.2.1 Physical Activity and your healthy mind and body. 1.2.2 A healthy, active lifestyle and your Cardiovascular system. 1.2.3 A healthy active lifestyle and your Respiratory system.

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Section 1.2 Notes

Section 1.2 Notes. The Way Science Works. EQ?. 1.2 THE WAY SCIENCE WORKS. Science Skills Critical thinking helps you solve problems logically. Scientists use scientific methods to solve problems. Scientists test hypotheses .

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Section 1.2

Section 1.2. Operations with Integers. Addition and Subtraction. Addition and Subtraction. Addition and subtraction of the numbers is done with the digits in the corresponding place-values of both numbers, from the smallest ones to the largest.

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Section 1.2

Section 1.2. What You’ll Learn. How to recognize the various parts of the U.S. Constitution (p. 14) How to explain the components of common law (p. 17). What You’ll Learn. How to explain the purposes of statutory law (p. 18) How to identify the various ways that courts make law (p. 20).

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Section 1.2 Estimation

Section 1.2 Estimation. What You Will Learn. Estimation. Estimation. The process of arriving at an approximate answer to a question is called estimation. Estimates are not meant to give exact values for answers, but are a means of determining whether your answer is reasonable.

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Section 1.2

Section 1.2. Linear Functions and Graphs. EXAMPLE. The following table shows the cost per day for a rental car depending on how many miles you drive a day. LINEAR FUNCTIONS. Definition : A linear function is a function of the form f ( x ) = mx + b.

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Section 1.2

Section 1.2. Straight Lines. Straight Lines. Slope Point-Slope Form Slope-Intercept Form General Form.

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Section 1.2

Section 1.2. Data Classification. Two Types of Data. Qualitative Data: consists of attributes, labels, or non-numerical entries. Quantitative Data: Consists of numerical measurements or counts. EX: Is the data Qualitative of Quantitative? Carrying capacities of pick up trucks

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