STAARReviewHw#5 Reporting Category 5 (Exponential Functions and Equations) The g

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STAARReviewHw#5 Reporting Category 5 (Exponential Functions and Equations) The graph shows the change in the value of a car over several years Based on the graph, which conclusion appears to be true? f. The car lost about 2 of its value every 3 years 9 The car lost about of its value every year h. The car lost less of its value between years 9 &10 than between years 1 &2 j. The car lost more of its value between years 9 & 10 than between years 1 & 2. 2. A laser beam with an output of 6 3. What is the y-intercept for the milliwatts is directed into a series of function represented by a school mirrors. The laser beam loses 2% of its 1 enrollment of 322 and grows by power every time it reflects off a mirror.What is the exponential function representing this situation? 4. What is the horizontal asymptote for the function y (5? 4%? a. 4 b. 0.04 1 322 d. 0.96 b.y-6(1-0.02 cy-6(1+ 002 d.y 640.02 5. A lake has a small population of a rare endangered fish. The lake Whi given? ch equation represents the table 7. Which of the following shows the first 5 terms in the sequence defined byft)-.fn)-2m-1) urrently has a population of 76 fish. The number of fish is decreasing at a f.y 5(3) rate of 4% per year. About how long will it take the population to shrink by 9 y 5B .05 1 15 a 2, -6-14, -22, -30... 2 S b. 2,-16, 128,-1024, 8192. 3 135 C8,-16, -32, -64,-128. half? ??6 years c. 14 years b, 2 years d. 17 years &. What is the domain and range for9 The starting annual salary for an office worker is $29,000 lf the company the graph given? awards an annual increase of 62%, which graph models the situation after the office worker receives x annual increases? Office Worker's Salary Office Woker's Salary Number of ,Office Warker's Salary Office warker's Salary D 25,000 C 25,000

Explanation / Answer

1) Here the graph is decreasing exponentially

The decrease is not constant.It can be easily seen from the graph that the car lost its value less between years 9 and 10 than in years 1 and 2 as the slope of tangent line is narrow there .

Hence option h is correct

2) Here exponential function is of form : y = abx

Now a = 6 and b = 1-0.02

Hence y = 6(1-0.02)x

Option b) is correct

3) The function is given by : y = 322(1+0.04)x

For y intercept, x=0 => y = 322(1) = 322

Option c) is correct

4) Exponential function of this form has horizontal asymptote y=0

Option j is correct

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