Review Solutions February 06, Aim: To review linear and exponential sequences HW: Complete review sheet and study solutions (posted on site)

Transcription

1 im: To review linear and exponential sequences HW: omplete review sheet and study solutions (posted on site) Warm up Use the following functions to answer the questions below f(x) = 3x + 8 g(x) = 2x h(x) = 3 (4) x 1) g(3) 2) h(0) 3) f(-2) 4) f(x) = 23

2 SMRT Response Review Game Rules - Use a piece of scrap paper or your notebook to work on the questions that follow - Have a TI-83/84 on your desk - on't copy any questions down - They will all be posted on the website - We will be covering 15 questions (*time management - work quickly and efficiently) - Enter all final answers into your remotes and flip over when done - No discussion or asking questions as everyone works, we will go over the solution FTER everyone has submitted - Whoever has the most correct answers at the end of the period wins a HW PSS. You will be disqualified from this contest by doing any of the following: - Talking during the question - Looking at someone else's SR Remote - Liking the NY Islanders

3 1 What is the explicit formula for the sequence listed below? n = 2n + 6 2, 8, 14, 20,... n = 6n + 2 n = 6n - 4 n = 2(4) n -1

4 2 ( The strength of a medication over time is represented by the equation, y = 2 3) x where x represents the number of hours since the medication was taken and y represents the number of micrograms per millimeter left in the blood. Which graph best represents this relationship?

5 3 Which function has the greatest value when x = 4? f(x) = x 3 f(x) = 3 x 3 f(x) = 3 x They all have an equivalent value

6 4 The accompanying graph shows the heart rate, in beats per minute, of a jogger during a 4-minute interval. What is the range of this function? 60 < y < < y < 4 60 < y < 110 y = 50

7 5 ased on the table below, what is the average rate of change, in millimeters per year, of a person's pupil diameter from age 20 to age 80?

8 6 The function h(x) = 6x - 4 is defined on the domain -2 < x < 5. Find the range of the function -16 < y < 26 8 < y < 26-2 < y < 5-12 < y < 34

9 7 piecewise function, g(x) is defined by the following rule: What is the value of g(0) + g(2)? + 2, x < 0 g(x) ={x 2x - 1, 0 < x < 2 x 2 + 1, x >

10 8 The population of deer in an area has doubled each year. In the same location, it was found that the rabbit population experienced a 15% yearly increase in size. ased on this information, which of the following statements is true? The deer population can be modeled with an exponential function and the rabbit population can be modeled with a linear function. oth populations can be modeled with an exponential function oth populations can be modeled with a linear function The deer population can be modeled with an linear function and the rabbit population can be modeled with an exponential function.

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12 9 Which equation best models this data set? f(t) = 3x + 5 f(t) = 5 (3) x f(t) = 3 (5) x f(t) = 3 x

13 10 Express in simplest form: a 8 b 2 (a 2 b) 3 a -2 b a 4 b 2 a 3 b 3 a 4 b 2

14 11 Given the function f(x) = 4 (2) x, which of the following statements is always true about the graph of f(x)? x = 0 f(x) > 0 x > 0 f(x) > 4

15 12 Rex Ryan takes his last paycheck and deposits it in a local bank. The bank advertises a 3% interest rate that is compounded quarterly. If Rex put $5525 in this account, what will be his new balance in 6 years? (Round to the nearest dollar) $6597 $6606 $6610 $4612

16 13 The accompanying graph shows the elevation of a certain region in New York State as a hiker travels along a trail. What is the domain of this function?

17 14 The third term of a geometric sequence is 18. The fifth term is 162. What is the explicit formula of this sequence? n = 2 (3) n -1 n = (n - 1) n = 9 (2) n -1 n = 3 (2) n -1

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