# Trigonometry-Unit 4. Assignment 1. Build Your Own Function

Question

College Mathematics I.U4.GA1.Build Your Own Function

Unit 4. Assignment 1. Build Your Own Function

Name: _______________________________________________

Learning Objectives and Outcomes

Graph equations using the point plotting method.

Given a relation, equation, or function, define the domain and range.

Use the definition of a function to determine if an equation is a function.

Identify function notation.

Evaluate functions, given values for the defined variables.

Use the vertical line test to identify functions.

Determine the specified characteristic of a graph.

Assignment Requirements

Instructions:

For this activity, you will create a function that has at least two x-intercepts.

1. Write the function, then graph it.

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College Mathematics I.U4.GA1.Build Your Own Function

2. Record the x- and y- intercepts:

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3. Use the vertical line test to demonstrate that the equation is a function.

4. Write below whether the function is odd, even, or neither. Provide your reason(s).

5. Write the range and domain of the function in interval notation.

6. Define any intervals for which the function is increasing, decreasing, and constant. Use

interval notation.

Required Resources

Notes and worksheets from class

Scientific calculator

Submission Requirements

Submit your written answers to your instructor at the beginning of Week 5. Show your work.

College Mathematics I.U5.GA1.Comparing Cell Phone Plans

Unit 5 Assignment 1: Comparing Cell Phone Plans

NAME: ____________________________________

Learning Objectives and Outcomes

Graph a linear function.

Calculate the slope of a line as specified by a linear function.

Assignment Requirements

Most cell phone carriers offer package deals in which they charge a set monthly fee and provide for a

free number of anytime minutes every month. Once the anytime minutes are used up, then they

charge a set rate for overage minutes. For this activity, assume you typically will use 575 minutes per

month.

1. Research the price of cell phone plans for two different carriers. For each carrier, get prices

for two different plans that are close to this assumed usage.

2. Create a relationship for each plan (an equation) where represents the monthly phone bill

and where x represents the minutes used beyond the free anytime minutes. Remember to

include the standard monthly fee in your function. Note: Give each plan a different functional

name,, , to distinguish them from each other.

3. Graph each relationship on the following graph. The x-axis will represent total minutes used,

and the y-axis the total monthly cost. Note that the cost will be a horizontal line until you go

beyond the free minutes.

4. Label each plan on the graph to match the names denoted in Step 2.

5. Which plan is the best one for you? Base your decision on the assumed usage.

Required Resources

Internet

Notes from class

Submission Requirements

Submit your written answers to your instructor at the beginning of Week 6. Include references to the

cell phone provider plans.

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