H-Algebra II by lr8cj8E

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									H-Algebra II                                                    Name _____________________________
Chapter 7 Targets

Chapter Objective: To graph, evaluate, and solve exponential and logarithmic functions, to expand
and condense logarithmic expressions, and to write equations for exponential and power functions.

7.1/7.2 Exponential Growth and Decay Functions
I can graph             For #1-3, GRAPH each and state the DOMAIN and RANGE.
exponential growth
functions and state                1    x                     x 2                                            x 1
                        1.    y     4              2.   y2           3                3.   y  23              4
domain and range.                  2
I can graph             For #4-6, GRAPH each and state the DOMAIN and RANGE.
exponential decay
                                         x                              x 1                                    x 2
functions and state                1                         2                                    1
                        4.    y  3                5.   y  6              3         6.   y   2               5
domain and range.                  2                         3                                    4
I can determine if      For #7-8, determine if each function shows growth or decay. Explain.
an exponential                              x                                             x
function shows                     37                                    2
                        7.    y                                8. y  3  
growth or decay.                   45                                    5
                        9.    How much must you deposit into an account that pays 7.45% interest,
                              compounded weekly, to have a balance of $35,000 after 10 years?
I can use
exponential             10. What is the interest rate on an account that is compounded monthly for 8
functions to model          years, to have a balance of $12,000 from an initial deposit of $9,000?
and solve problems.
                    11. The population of Z-ville is currently 50,000. If 7% of the population
                        leaves the town each year, what will be the population after 10 years?
7.3 Functions involving e
I can simplify                                   2                                             9        4
                                          34                                            16e  e
natural base            12. Simplify e   e                             13. Simplify
                                                                                                    7
expressions.                                                                                 6e
I can graph natural
                        For #14-16, GRAPH each and state the DOMAIN and RANGE.
base functions and
state domain                        1 x                          x 2                                        x 1
                        14.   y      e              15. y  e          3                16. y   2e              4
and range.                          2
I can determine if a    For #17-18, determine if each function shows growth or decay. Explain.
natural base
function shows                        2x 1                                           x 3
                        17.   y  2e                                     18. y  3e
growth or decay.
                        19.   If an account earning 2.45% interest, compounded continuously, currently
I can use natural
                              has $5,000 after being deposited 4 years ago, what was the initial deposit?
base functions to
model and solve
                  20. For a certain strain of bacteria, k = 0.672 when t is measured in hours.
problems.
                       How long will it take 250 bacteria to increase to 700 bacteria?
7.4 Evaluate and Graph Logarithms

I can rewrite            For #21-23, rewrite in exponential form.
logarithmic equations                                                                               1 
                         21. log3 81  4                                3                 23. log4    2
in exponential form.                                 22. log4 8 
                                                                        2                           16 
I can evaluate           For #24-27, evaluate each WITHOUT A CALCULATOR!
logarithmic                                                                                                          1
expressions.             24. log4 64                 25. log2 1                 26. log25 5                 27. log2  
                                                                                                                     8
                         For #28-29, find the inverse of the given function.
I can find the inverse
of exponential and
logarithmic functions.   28.   y5
                                      x 2
                                             1                                 29.    y  3log6  x  2  1

I can graph              For #30-32, GRAPH each and state the DOMAIN and RANGE.
logarithmic functions
and state domain         30.   y  3•log2 x               31.     y ln  x  2  3               32.   y  2log  x  3  4
and range.
7.5 Apply Properties of Logarithms
                         For #33-34, expand each expression.
I can expand                                                                           3 2 
logarithmic                        6 2                                                x y
expressions.             33. log7  3x y                                       34. ln     
                                                                                      4z 
                                                                                           

I can condense           For #35-36, condense each expression.
logarithmic                                                 1
expressions.             35.   4log3 x  2log3 y  7log3 a  log3 b             36. 3ln x  5ln y  2lnz 
                                                            2
I can use the change
                         For #37-40, use the change of base to evaluate each.
of base
to evaluate
                         37. log5 7                  38. log3 12                39. log6 2                  40. log3 0.25
logarithms.
7.6 Exponential and Logarithmic Equations
                         For #41-44, solve for x.
I can solve                                x 10
exponential              41. 9  2  5                                        42. 15.47  14.1e
                                                                                                         2x 9

equations.
                                  4x 5       x 2                                     3x 1        2x 3
                         43. 10           6                                   44. 5           2

                         For #45-52, solve for x.

                         45. log5  x  4   log510                           46. log3x  9
                                                                                               3


I can solve
                         47. log10 log2 log7 x   0                                       1
                                                                             48. logx 3 49 
logarithmic                                                                                  3
equations.                                                                                  1          2
                         49. log3 9  log3x  log3 72                          50. 2log9 x  log9 144  log9 8
                                                                                            2          3
                                                     2     
                         51. log2  9x  5   log2  x  1   2              52. log2  y  2  1  log2  y  2
                                                           
7.7 Write Exponential Functions
                                                                               x
I can write an           53. Write an exponential function y  ab through (1, 40) and (3, 640).
exponential/power
function.                                                              b
                         54. Write a power function y  ax through (5, 10) and (12, 81)
                                                                          x
I can find an
                        55. Write an exponential function y  ab whose graph passes through the
exponential or power        points    {(1, 3.3), (2, 10.1), (3, 30.6), (4, 92.7), (5, 280.9)}
function from a set
of data (use a                                                 b
graphing calculator).
                        56. Write a power function y  ax whose graph passes through the points
                            {(1, 2), (2, 5), (3, 10), (4, 15), (5, 22)}

								
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