Maths LAB 4.1 Assessment Preparation

| August 30, 2017

Question
LAB 4.1 (3.0 HOURS)

Assessment Preparation Checklist:

Perform the following tasks to prepare for this assessment:

? Read Chapter 2, Sections 2.1–2.7, of your textbook, Algebra & Trigonometry. These sections will help you understand how to interpret information from a graph and make predictions by modeling data with functions.

? Review the lesson for this module, which explains how to graph functions and obtain information about a function from its graph.

Title: Transformation, Composite, and Inverse Functions

This lab includes problems based on graphing various functions and application problems involving the slope and equations of lines.

Recommended Procedures:

Solve the following problems, providing detailed steps wherever required.

1. (10 points) What test can we use to determine if a graph is a function or not? Explain in your own words.

2. (25 points) The following graph displays the rates of a computer service technician:

The following piecewise function is described as the following:(????)={$50 ???????? 0??????6043?????30 ???????? ????>60

a. Find the cost if the computer service technician works for 45 minutes.

b. Find the cost if the computer service technician works for 105 minutes.

3. (5 points) Write the equation to find the slope of an equation.

4. (5 points) Write the point-slope form.

5. (5 points) Write the slope-intercept form.

6. (20 points) The total sales of a company in 2008 was $45,000 dollars. In 2011, it grew to $84,000 dollars. Use????as the number of years since 2000 and????as the total sales.

Hint: Use the points (8, $45,000) and (11, $84,000).

a. Find the rate of change (slope).

b. Write an equation in both point-slope form and slope-intercept form, modeling the company’s sales.

c. What are the projected sales for the year 2016? (16 years after 2000).

7. (20 points) Let(????)=????+4and????(????)=????2+8?????3.Find each of the following functions:

a.(????+????)(????)

b.(?????????)(????)

c.(????????)(????)

d.?????????

Hint: (????(????))

8. (10 points) Find the inverse of(????)=?9????+8.

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