Exponential Review Date Period For each of the following, graph the function and label the y-intercept and two other points.

Size: px

Start display at page:

Download "Exponential Review Date Period For each of the following, graph the function and label the y-intercept and two other points."

Avis Edwards
5 years ago
Views:

1 NC Math Name Eponential Review Date Period For each of the following, graph the function and label the -intercept and two other points. ) Graph each of the following eponential functions: a) = b) = 8(½) c) = 9(⅓) d) = ( ) Asmptote: Asmptote: Asmptote: Asmptote: int: (, ) int: (, ) int: (, ) int: (, ) more points: more points: more points: more points: (, ) & (, ) (, ) & (, ) (, ) & (, ) (, ) & (, ) ) Suppose a collectable Barbie doll is valued at $6 and it increases in value b % each ear. A) Which of the following functions could be used to represent this situation? i. v = 6(.) t ii. v = 6( + ) t iii. v = 6( +.) t iv. v = 6( +.) t B) If the Barbie was purchased in how much would the Barbie be worth now (in )? C) In what ear will the Barbie be worth approimatel $8.5? ) Suppose a new machine is purchased for a factor. If it was bought for $57, and it decreases in value b 9% each ear. A) Which of the following functions could be used to represent this situation? i. v = 57 (.9) t ii. v = 57 ( +.9) t iii. v = 57 (.9) t iv. v = 57 (.9) t B) If the machine was purchased in 7 how much would it be worth now (in )? C) In what ear will the machine be worth approimatel $8,57.?

2 ) Fill-in the table of values for each of the following eponential functions and then state whether it represents eponential growth or eponential deca : = () = (.) = (¼) = (. 5) A) B) C) D) GROWTH or DECAY GROWTH or DECAY GROWTH or DECAY GROWTH or DECAY 5) Which of the following set(s) of data represent an eponential function? If it is an eponential function state whether the values are: increasing at an eponential rate or if the are decreasing at an eponential rate. A) B) C) D) This IS / IS NOT This IS / IS NOT This IS / IS NOT This IS / IS NOT eponential eponential eponential eponential GROWTH or DECAY GROWTH or DECAY GROWTH or DECAY GROWTH or DECAY 6) In 995, the average gallon of gas cost $.. Ever ear the cost goes up b.5% because of inflation What would the average gallon of gas in? 7) I purchased a new moped for $9,8. The equation = 98(.89) generates the value of the moped after ears. After how man ears will it be worth half its original price?

3 8) The formula for eponential growth is = a t r where a is the initial amount, r is the rate of growth, and t is the number of intervals. Since the formula can be used on an problem dealing with a quantit that has a regular increase at a fied percent, use the formula for the following problem. In 997, there were,8 students at Baker High School. If the number of students at the high school increases at a rate of.5% per ear, how man students can Baker epect to have in the ear 5? 9) The formula for eponential deca is = a t r where a is the initial amount, r is the rate of deca, and t is the number of intervals. Since the formula can be used on an problem dealing with a quantit that has a regular decrease at a fied percent, use the formula for the following problem. On wednesda, our Science teacher gives ou a list of twent-five terms to be memorized. You memorize all of them Wednesda night and ou do not look at the list again. If ou forget 5% each da, how man will ou remember seven das later for the chapter test? ) Use our graphing calculator on the eponential equation = () which represents the following scenario to determine our answer. If ou can find a bank that triples our mone each week, how much mone will ou have at the end of 8 weeks if ou begin with $? ) Write an equation and solve. An initial patch of molds in a laborator covers 5 cm. The area of the patch is increasing at a rate of % per da. What will be the area of the patch after 8 das? ) Write an equation and solve. A couple has a -acre farm that the want to leave to their future grandchildren. The decide to give each grandchild % of the land remaining when the child is born. Let be the amount of land remaining after grandchildren are born. Determine the amount of land remaining after the 6 th grandchild is born. ) In 98, there were. million elephant living in Africa. Because the natural grazing lands for the elephant are disappearing due to increased population and cultivation of the land, the number of elephants in Africa has decreased b about 6.8% per ear. A) Write an equation to represent the population of elephants in Africa. B) In what ear did the population of African elephants drop to less than half the number in 98?

4 ) Zeller Industries bought a piece of weaving equipment for $5,. It is epected to depreciate at a stead rate of % per ear. Between which two ears will its value have depreciated to $5,? 5) The Greens bought a condominium for $8,. Assuming that its value will appreciate 6% per ear, how much will the condo be worth in five ears when the Greens are read to move? 6) Determine which set(s) of data are eponential C D E. 5 F G. H ) Which table of data ehibits the eponential behavior of =? 8 8, 6,96 C. 6,58,768 D.,87 6,

5 8) Which of the following tables shows the value of decreasing at an eponential rate? C. D. 7 5, ) Which of the following tables shows the value of increasing at an eponential rate? C. D ) Which of the following tables shows the value of increasing at an eponential rate? C. D

EXPONENTIAL FUNCTION BASICS COMMON CORE ALGEBRA II BASIC EXPONENTIAL FUNCTIONS

Name: Date: EXPONENTIAL FUNCTION BASICS COMMON CORE ALGEBRA II You studied eponential functions etensivel in Common Core Algebra I. Toda's lesson will review man of the basic components of their graphs