519 Chapter 4 Review Exercises Determine whether each function as graphed or defined is one-to-one. CHAPTER 4 Review Exercises 1. x y 0 2. x y 0 3. x y 0 4. y = x3 + 1 5. y = 1x + 322 6. y = 23x2 + 2 Find the inverse of each function that is one-to-one. 7. ƒ1x2 = x3 - 3 8. ƒ1x2 = 225 - x2 Concept Check Work each problem. 9. Suppose ƒ1t2 is the amount an investment will grow to t years after 2019. What does ƒ-11$50,0002 represent? 10. The graphs of two functions are shown. Based on their graphs, are these functions inverses? −10 −16.1 10 16.1 11. To have an inverse, a function must be a(n) function. 12. True or false? The x-coordinate of the x-intercept of the graph of y = ƒ1x2 is the y-coordinate of the y-intercept of the graph of y = ƒ-11x2. Match each equation with the figure that most closely resembles its graph. 13. y = log0.3 x 14. y = e x 15. y = ln x 16. y = 0.3x A. x y 0 B. x y 0 C. x y 0 D. x y 0 Write each equation in logarithmic form. 17. 25 = 32 18. 1001/2 = 10 19. a 3 4b -1 = 4 3 20. Graph ƒ1x2 = A1 5B x+2 - 1. Give the domain and range. Write each equation in exponential form. 21. log 1000 = 3 22. log9 27 = 3 2 23. ln 2e = 1 2
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