MATHCP Algebra I  - Unit 28: Functions and Relations

Functions and Relations


1)

What can the graph of a function show? 


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2)

Define relation. 


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3)

Define function. 


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4)

State the two important parts of a function and define each part. 


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5)

Determine if the relation is a function. State “yes" or "no.” If “no”, explain why.
 


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6)

Determine if the relation is a function. State “yes" or "no.” If “no”, explain why.


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7)

Determine if the relation is a function. State “yes" or "no.” If “no”, explain why.


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Extra Practice:  Check with you instructor to see if s/he would like for you to do some extra practice problems.  Click here to view the practice worksheet.


Vertical Line Test


8)

When a relation is graphed in the coordinate plane, describe how to determine if the relation is a function.


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9)

Is the graph a function?


10)

Is the graph a function?


11)

Is the graph a function?


12)

Is the graph a function?


Function Notation


13)

Evaluate.


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14)

Evaluate.


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15)

Evaluate.


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16)

Evaluate.


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For the next four problems, refer to the function shown below and find the ordered pairs for the domain described in each problem. 


17)

List the set of ordered pairs that has a domain that consists of integers from –2 to 4.  


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18)

List the set of ordered pairs that has a domain that consists of even integers from –6 to 2. 


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19)

List the set of ordered pairs that has a domain that consists of multiples of 3 from –3 to 15.


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20)

List the set of ordered pairs that has a domain that consists of odd integers from –11 to –1. 


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21)

 John charges $50 to diagnosis a car problem plus $75 per hour to fix the problem. Write a function relating the total charge to the number of hours it takes to fix the car. Use proper function notation.


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22)

What is the domain of the function in #21?


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23)

What is the range of the function in #21?


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24)

The local grocer is charging $17.50 for five pounds of hamburger. Determine a function rule that relates the total cost of hamburger based on the weight of the hamburger purchased.


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25)

What is the domain of the function in #24?


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26)

What is the range of the function in #24?


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27)

Sherman decides to sell necklaces for $5 each. He had to spend $25 initially to buy supplies. Write a function to relate the number of necklaces sold to his total profit.


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28)

How many necklaces does Sherman have to sell to break even (0 profit but earns back the $25 he spent)?


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29)

What is the domain of the function in #27?


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30)

What is the range of the function in #27?


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Extra Practice:  Check with you instructor to see if s/he would like for you to do some extra practice problems.  Click here to view the practice worksheet.


Review

Click here to review the unit content explanation for Integers and Equations.

Click here to review the unit content explanation for Linear Equations and Graphs.

Click here to review the unit content explanation for Systems of Inequalities.

Click here to review the unit content explanation for Factoring.

Click here to review the unit content explanation for Quadratics.

Click here to review the unit content explanation for More on Quadratics.


31)

Solve: 5x – (7x + 4) = 3(x + 5) + 4(5 – 2x)


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32)

Graph the given equation.


33)

Graph the given inequality.


34)

Write the expression using positive exponents.


35)

Factor by grouping: mr + 3m + 2r + 6


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36)

Rewrite the function in vertex form, and then state the vertex, the axis of symmetry, and the direction of opening. 


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37)

Solve for “x.


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