Algebra II - Transformation Retest Review
PreCal Unit 1 review Name: Period:
1) Write the description of each transformation, draw the graph and write the domain and range of the function.
1) [pic] 2) [pic] 3) [pic]
______________________ ______________________ _____________________
______________________ ______________________ _____________________
______________________ ______________________ _____________________
D: ___________________ D:____________________ D: __________________
R: ___________________ R:____________________ R: ___________________
[pic] [pic] [pic]
4) 5) [pic] 5) [pic] 6)[pic]
______________________ ______________________ _____________________
______________________ ______________________ _____________________
______________________ ______________________ _____________________
D: ___________________ D:____________________ D: __________________
R: ___________________ R:____________________ R: ___________________
[pic] [pic] [pic]
2) Write the equation of each parent function given the certain conditions.
• 11) Absolute Value: Vertical Compression of [pic], shifted up 4 units, shifted left 3 units. _______________
• 12) Cubic: Shifted 3 down, shifted 1 left, and reflected across the x-axis. _______________
• 13) Quadratic: Reflected across x-axis, Vertical stretch of 3, shifted down 2. _______________
• 14) Rational: Shifted 6 right, 7 up ______________
3) Use the graph to answer the questions:
|1.) Is f increasing on the interval [pic] ? |
|2.) Is f increasing on the interval [pic] ? |
|3.) List the interval(s) on which f is increasing. |
| |
|4.) Is there a local maximum at 2? |
|If yes, what is it? |
|5.) List the numbers at which f has a local maximum. |
| |
|What are the local maximums? |
| |
|6.) Find the x- and y-intercepts, if any. |7.) State the domain and range. |
| | |
| | |
| 8.) State the intervals on which it is increasing, |9.) Is the function even, odd, or neither? |
|decreasing, or constant. | |
| | |
| | |
| | |
4) Determine algebraically whether each function is even, odd, or neither.
| [pic] | [pic] | [pic] |
| | | |
| | | |
| | | |
| | | |
| | | |
| | | |
5 ) Determine whether each function is even, odd, or neither.
| | | |
| | | |
| | | |
| | | |
| | | |
| | | |
6 ) Carefully graph each of the following. Then evaluate the function at the specific value.
[pic] [pic]
[pic]
[pic]
7 ) Write the equation of the piece wise graph :
8) Perform the indicated operations.
1. [pic] 2.[pic]
3. [pic] 4. [pic]
5. [pic] 6. [pic]
9) Factor completely.
7. [pic] 8. [pic]
9. [pic] 10. [pic]
10) Find the quotient and remainder using long division:
A. [pic]
B. [pic]
11) Find the remainder using synthetic division :
A. [pic]
B. [pic]
12. Write an equation with degree of 3 whose zeros are 4 and -2.
13. Find the degree of each of the polynomials:
A. y = -3x7 + x5 - 3x2 + 2 B. y = 2x(x-4)2(x+2)3(x-3)4
14. Sketch a graph of the following functions. Label all zeros.
A. P(x) = x5 - 9x3 B. P(x) = -2(x-1)(x-2)2(x+1)3
15. List the end behavior of the following polynomials:
A. Q(x) = -x2(x2 – 4) As [pic], [pic] As[pic], [pic]
B. S(x) = [pic]x6 – 2x4 As [pic], [pic] As[pic], [pic]
C. P(x) = x4 – 3x2 - 4 As [pic], [pic] As[pic], [pic]
16. Use the following graph
[pic]
A. Find the end behavior of the graph
As [pic], [pic] As[pic], [pic]
B. List the zeros of the graph
C. List the local extrema of the graph. Label each as a local min or max
D. List the interval(s) where the graph is increasing
E. List the interval(s) where the graph is decreasing
17. CALCULATOR ALLOWED: Find the relative extrema of the following functions and list all the interval(s) in which the graph is increasing or decreasing. Round to three decimals.
A. f(x) = x4 – 3x3 – 3x2 + x – 2 B. f(x) = -x3 – 4x2 - x + 3
18- What is the end behavior of these graphs?
[pic]
[pic]
[pic]
[pic]
19) Fill the blanks about this graph :
Vertical asymptote:
Horizontal asymptote:
[pic]
[pic]
[pic]
[pic]
Increasing:
Decreasing:
20) Find the domain and range and state if this function is increasing or decreasing?
[pic] [pic]
Domain: Domain:
Range: Range:
Increasing or Decreasing? Increasing or Decreasing?
-----------------------
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.
Related searches
- algebra transformation rules
- algebra 1 review test
- algebra 1 review study guide
- algebra one review pdf
- algebra 1 functions review worksheet
- algebra 2 transformation of functions
- transformation review sheet answers
- geometry transformation review answer key
- algebra ii textbook free pdf
- algebra 1 final review pdf
- algebra 1 review packet pdf
- transformation in algebra 2