University:
North Central College
Course:
MATH 151 | Calculus I
Academic year:

2019
Views:

232

Pages:

4
Author:

SpaceCadet101

Chapter 8 Test Review Name: Key HR: Simplify the expression. 1. (3x^2y^3)^2 9x^4y^6 2. -(2cd^-3)^3 -8c^3/d^9 3. (a^4b^3)(ab^3)^5 a^9b^18 4. (25x^3y^2)/(35xy^5) 5x^2/(7y^3) 5. (27xy^-1)/(3x^1y)^2 3/(xy^3) 6. 5/w^-3 5w^3 7. (5x^3y^2)/(3xy^-3)^4 9/(25x^4y^10) 8. (2ab^2)^4/(6a^-3b^2) 8a^7/3 9. (4m^-1/n^4)^3 * (2m^3/n^-3) 128m^2/n^9 10. y = -1 * 4^x Growth 11. y = 5 * 2^x Growth 12. y = 1 * (1/5)^x Decay 13. y = 1 * (9/10)^x Decay Circle whether the function represents exponential growth or decay. Graph the function. Identify its domain and range. (y = 5.2^x) Growth Domain: All Real Numbers Range: y > 0 (y = (\frac{3}{4})^x) Decay Domain: All Real Numbers Range: y > 0 (y = 3^x) Growth Domain: All Real Numbers Range: y > 0 (y = -3^x) Decay Domain: All Real Numbers Range: y < 0 (y = (\frac{1}{2})^x) Decay Domain: All Real Numbers Range: y > 0 (y = 2(\frac{1}{5})^x) Decay Domain: All Real Numbers Range: y > 0 20. A business had $10,000 profit in 2000. Then the profit increased by 8% each year for the next 10 years. a) Write a function that models the profit in dollars over time. y = 10000(1.08)^t b) Use the function to predict the profit in 2009. t = 9 y = 10000(1.08)^9 y = 19,990.05 Tell whether the graph represents exponential decay or exponential growth. Then write a rule for the function. 21. Decay y = 3(1/3)^x 22. Growth y = 4 * 2^x 23. You buy a computer for $3000. It depreciates at the rate of 20% per year. Find the value of the computer for the given year. y = 3000(1 - 0.2)^t y = 3000(0.8)^t a) 1 year y = 3000(0.8)^1 $2400 b) 3 years y = 3000(0.8)^3 $1536 c) 5 years y = 3000(0.8)^5 $983.04 Graph the function. Compare the graph with the graph of y = 4^x. 24. y = -4^x Compare: Reflected over x-axis, same size/shape 25. y = 3 * 4^x Compare: Increases faster!