Name Homework Packet Week #12

Transcription

1 1. All problems with answers or work are examples. Lesson 4.4 Complete the table for each given sequence then graph each sequence on the coordinate plane. Term Number (n) Value of Term ( ) Term Number (n) Value of Term ( )

2 3. All problems with answers or work are examples. Lesson 4.5 Write each arithmetic sequence as a linear function. Waynesburg has a population of 16,000. Its population is increasing at a rate of 1.5%. The function represents the population as a function of time. Determine the population after each given number of years. Round your answer to the nearest whole number years years Write each geometric sequence as an exponential function. 4. Lesson 5.2 Write a function that represents each population as a function of time. Morristown has a population of 18,000. Its population is decreasing at a rate of 1.2%. The function, represents the population as a function of time. Use a graphing calculator to estimate the number of years it will take for the population to reach each given amount. 9. one-third North Park has a population of 14,000. Its population is decreasing at a rate of 3.1%. 6. West Lake has a population of Its population is increasing at a rate of 2.8%.

3 All problems with answers or work are examples. Complete each table and graph the function. Identify the x- intercept, y-intercept, asymptote, domain, range, and interval(s) of increase or decrease for the function. 12. x f(x) 11. x f(x) 0 1 2

4 All problems with answers or work are examples. Lesson 5.3 Vocabulary Represent each vertical translation, g(x), using coordinate notation. EXAMPLE 22. Match each definition to its corresponding term. a. basic function d. coordinate notation b. transformation e. argument of a function c. vertical translation f. horizontal translation the mapping, or movement, of all the points of a figure in a plane according to a common operation 14. a type of transformation that shifts the entire graph left or right 15. a function that can be described as the simplest function of its type Rewrite each function g(x) in terms of the basic function f(x). EXAMPLE a type of transformation that shifts the entire graph up or down 17. the variable on which a function operates notation that uses ordered pairs to describe a transformation on a coordinate plane EXAMPLE 19. Rewrite each function g(x) in terms of the basic function f(x). Represent each horizontal translation, g(x), using coordinate notation. EXAMPLE

5 All problems with answers or work are examples. Describe each graph in relation to its basic function. 35. EXAMPLE 31. Compare when to the basic function. 32. Compare when to the basic function. 33. Compare when to the basic function. Each coordinate plane shows the graph of f(x). Sketch the graph of g(x). EXAMPLE g(x) f(x)

6 EXAMPLE 37. All problems with answers or work are examples. Write the equation of the function given each translation. Vertical translation up 2 units Vertical translation down 5 units 39. Horizontal translation right 4 units Each graph shows the function g(x) as a translation of the function f(x). Write the equation of g(x). 42. EXAMPLE 40.

7 All problems with answers or work are examples. Lesson 5.4 Each coordinate plane shows the graph of f(x). Sketch the graph of g(x). Rewrite each function g(x) in terms of the basic function f(x). EXAMPLE 49. EXAMPLE Represent each reflection using coordinate notation. Identify whether g(x) is a reflection about a horizontal line of reflection or a vertical line of reflection. 50. EXAMPLE

8 51. All problems with answers or work are examples. EXAMPLE 52. Write a function, g(x), to describe each reflection of f(x). Reflection about the horizontal line. 53. Reflection about the vertical line. 54. Reflection about the vertical line