Precalculus Honors Name Intro Chapter 4- Parent Functions Date · 2018. 1. 29. · Precalculus...
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Precalculus Honors Name_________________________ Intro Chapter 4- Parent Functions Date__________________________ x y Mathematics is a foreign language, as I’m sure you would agree, and as in any foreign language, understanding the subtleties of the language depends upon a clear understanding of the “words” that make up the language. It really is imperative that you have a good understanding of the concepts of domain, range, and function and that you know how to read information from a graph. Hence this worksheet. I entreat you to earnestly work at this, talk with the other students about these problems and try to internalize the various concepts as you work through the problems. These concepts are the initial building blocks of the language and the framework for this semester. What I would like you to do is to graph the following functions and then indicate what the domain and range are. There are patterns of graphing in the following problems. The first equation in each group is the “parent functions” by which I mean the most basic kind of function. The problems in each group are variations of these basic functions. Try to understand how certain numbers in each equation “transform” the basic parent functions, that is, how certain numbers in each equation move the basic function to a new location. **Calculators or no calculators, that is the question.** My suggestion to you would be that you use your calculator only if you have no idea what the graph looks like. Once you know the shape of the parent function you should be able to sketch the other graphs without a calculator. Group 1: Linear Functions Domain Range 1. x y 2. x y 2 3. x y 3 4. 4 x y 5. 2 y
Transcript of Precalculus Honors Name Intro Chapter 4- Parent Functions Date · 2018. 1. 29. · Precalculus...
Precalculus Honors Name_________________________
Intro Chapter 4- Parent Functions Date__________________________
x
y
Mathematics is a foreign language, as I’m sure you would agree, and as in any foreign
language, understanding the subtleties of the language depends upon a clear
understanding of the “words” that make up the language. It really is imperative that you
have a good understanding of the concepts of domain, range, and function and that you
know how to read information from a graph. Hence this worksheet. I entreat you to
earnestly work at this, talk with the other students about these problems and try to
internalize the various concepts as you work through the problems. These concepts are
the initial building blocks of the language and the framework for this semester.
What I would like you to do is to graph the following functions and then indicate what
the domain and range are.
There are patterns of graphing in the following problems. The first equation in each
group is the “parent functions” by which I mean the most basic kind of function. The
problems in each group are variations of these basic functions. Try to understand how
certain numbers in each equation “transform” the basic parent functions, that is, how
certain numbers in each equation move the basic function to a new location.
**Calculators or no calculators, that is the question.**
My suggestion to you would be that you use your calculator only if you have no idea
what the graph looks like. Once you know the shape of the parent function you should be
able to sketch the other graphs without a calculator.
Group 1: Linear Functions
Domain Range
1. xy
2. xy 2
3. xy 3
4. 4 xy
5. 2y
Precalculus Honors Name_________________________
Intro Chapter 4- Parent Functions Date__________________________
x
y
x
y
Group 2: Absolute Value Functions
Domain Range
6. xy
7. xy
8. 3 xy
9. 3 xy
10. 54 xy
Group 3: Quadratic Functions
Domain Range
11. 2xy
12. 22xy
13. 22 xy
14. 22 xy
15. 372 xy
Precalculus Honors Name_________________________
Intro Chapter 4- Parent Functions Date__________________________
x
y
x
y
x
y
Group 4: Radical Functions
Domain Range
16. xy
17. 3 xy
18. 1 xy
19. 10 xy
20. 39 xy
Group 5: Cubic Functions
Domain Range
21. 3xy
22. 33 xy
23. 32 xy
24. 543 xy
Group 6: Rational Functions
Domain Range
25. x
y10
26. 310
x
y
27. 3
10
xy
Precalculus Honors Name_________________________
Intro Chapter 4- Parent Functions Date__________________________
What is a Function?
Define relation:
Define function:
Given the graphs below, explain why the each is/is not a function. It is not sufficient to
say that the vertical line test fails or works. If the graph is not a function, supply at least
2 ordered pairs as well as a brief statement as to why the relation is not a function
a. b.
c. d.
