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The document describes choosing fabric for a sewing project where fabric costs $2.50 per yard. It then shows how to represent this situation with a linear function of y = 2.50x, where y is the total cost and x is the number of yards. It provides examples of identifying linear functions from graphs.
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Paper no. 4
This document provides instructions on how to evaluate algebraic expressions using a Casio fx-350ES PLUS calculator. It includes an example of evaluating the expression a2+b3 when a=4 and b=2. The steps shown are to assign the values 4 and 2 to the variables a and b using the calculator's storage function, then using the variables to calculate the expression. Exercises are provided to evaluate other algebraic expressions using the given calculator.
Lesson 1_Functions.pptx
1) The document outlines a course curriculum that covers functions, rational functions, one-to-one functions, exponential functions, and logarithmic functions over 32 hours spread across 8 weeks.
2) It provides the chapter titles and learning objectives for each chapter, along with the topics and hours allocated to each lesson.
3) Key concepts covered include functions as models of real-life situations, representing functions as sets of ordered pairs, tables, graphs, and piecewise functions.
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7 8 2
- 1. Fabric You are in a craft shop, choosing fabric for a sewing project. The fabric you choose costs $2.50 for each yard. In Example 2, you will find out how to use a graph to represent this situation. EXAMPLE 2 Writing and Graphing a Function
- 2. EXAMPLE 2 Writing and Graphing a Function The situation described can be represented by the function y = 2.50x, where y is the total cost of the fabric and x is the number of yards of fabric. Follow these steps to graph the function. STEP 1 STEP 2 Make an input-output table. Plot the ordered pairs and connect them as shown.
- 3. a. EXAMPLE 3 Identifying Linear Functions Tell whether each graph represents a function of x. If it does, tell whether the function is linear. SOLUTION This graph represents a function of x. The function is linear because the graph is a line.
- 4. b. EXAMPLE 3 Identifying Linear Functions Tell whether each graph represents a function of x. If it does, tell whether the function is linear. SOLUTION This graph does not represent a function of x. For each value of xin the domain, excluding –2, there is more than one value of y.
- 5. c. EXAMPLE 3 Identifying Linear Functions Tell whether each graph represents a function of x. If it does, tell whether the function is linear. SOLUTION This graph represents a function of x. The function is not linear because the graph is not a line or part of a line.
- 6. 5. Cost Write and graph a function for the cost,y, of xpens that cost $3 each. y = 3 x ANSWER GUIDED PRACTICE for Examples 2 and 3
- 7. 6. Is the graph at the right a function? Is it linear? Explain. Yes; Each value of x has a single corresponding value of y ANSWER No; The graph is not a straight line. GUIDED PRACTICE for Examples 2 and 3