University:
College Entrance Preparation
Course:
ACT Preparation (Mathematics)
Academic year:

2019
Views:

63

Pages:

4
Author:

Dixie Summers

H. Algebra 2 Module 13 Review Date: Name: Hour: 3.1 Exponential Growth Functions 1 1. Given the function g(x)=(2)*-+3 complete the following: a) Tell the transformations that have been applied to the graph of f(x) = 2* to produce the graph of g(x). Vertical compresion of. h I right 3 up b) Identify the asymptote, reference point, and at least two other points to graph the function. H.A y 3 0,1(1,3.5) (3,5) 1,6(2,4) c) Give the domain and range in set notation. D:X100X R{yly23 d) Describe end behavior. as x 700, Y700 e) Find the average rate of change from x=0 to x3, M (0.3(3,5) m 13-0 X 2. The annual sales for a fast food restaurant are $650,000 and are increasing at a rate of 4% per year. a) Write the function f(t) that expresses the annual sales after t years. F4) 650,000 (1.09) b) Find the annual sales after 5 years. f(s) = 790,1 5,824.39 c) Determine how many years if would take for sales to reach $900,000.00. Round to the nearest hundredth of a year. XA 8.3 years 3. During a certain period of time, about 70 northern sea otters had an annual growth rate of 18%. a) Write the function f(t) that expresses the population of sea otters after t years. F(4)=70(1.16) b) Find the population of sea otters after 4 years. F(4) 156 c) Determine how many years it would take for the otter population to reach 250. Round to the nearest hundredth of a year. X~ 7.69 years