MATH 209 Week 4 DQs 1

  In this pack of MATH 209 Week 4 Discussion Question 1 you will find the next information: 1. How might the intercepts of a quadratic function be computed?
2. In the case of a quadratic function, what is the number of x and y intercepts the function may have?
3. What is the meaning of
Mathematics - Algebra
 MATH 133 MATH/133 MATH133

 American Intercontinental University

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 MATH133 Unit 4: Functions and Their Graphs

 Individual Project Assignment: Version 2A

 IMPORTANT: Please see Question 3 under Problem 2 for special instructions for this

 week’s IP assignment. This is mandatory.

 Show all of your work details, explanations, and answers on the Unit 4 IP Answer Form

 provided.

 Problem 1: Children’s Growth

 A study of the data representing the approximate average heights of children from birth to 12

 years (144 months) has shown the following two equations. The function is the radical

 function representing the girls’ heights in inches after x months, and the function is the radical

 function representing the boys’ heights in inches after x months ( months).



 ( ) √



 ( ) √

 1. Choose five different values of x between 0 and 144 months, and calculate the values of each of

 these functions for the chosen x values. Show all of your work and display these calculated values

 of ( ) and ( ) in “t-tables” in the Answer Form supplied.

 2. Use these five different values of x and the corresponding calculated values of both functions,

 together with Excel or another graphing utility, to draw the graphs of these two functions. These

 graphs should be drawn on the same coordinate system so that the two functions can be easily

 compared. Insert those graphs into the Answer Form.

 3. Set the two functions equal to each other, and solve the resulting radical equation for x. This

 value of x will be the age in months when boys and girls are the same height. (Show all of the

 steps for solving this radical equation on the Answer Form provided.)

 4. What is the height in inches when boys and girls (according to these radical functions) are the

 same height? (Show all of your work on the Answer Form provided.)

 5. Based on each of the two radical functions above, what is the average change in height per

 month for girls and the average change in height per month for boys between the two values of

 x ( months and months)? (Show all of your work on the Answer Form provided.)Page 2 of 3

 6. Describe the transformations of the radical function ( ) √ that will result in each of these

 functions.

 7. Which intellipath Learning Nodes helped you with this problem?

 Problem 2: Average Cost

 Your company is making a product item. The


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You are responsible for cooking and cleaning. Choose healthy foods, get eight hours of sleep every night, and study as much as possible. Take care of yourself well, study appropriately, attend all your classes and follow a regular schedule. You can become ill as a result of stress and poor nutrition.