Chapter 9.3, Problem 19E

Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it continues on its course indefinitely. Let D(t) denote its distance from Earth after t years of travel. Do you expect that D has a limiting value?

The population of a small town is currently 800 people, and the population is increasing at a rate of 5 percent per year. You want to create a function in the form P = after x years. a(b)" to find the population, P, What is the value of a, the town's initial population? What is the value of b, the growth or decay factor (base)? What equation models the town's population after x years? P =

An investment appreciates 2% per year. Originally $5000 is invested. What is an equation for the years since the money is invested as a function of the investment's worth? Ot = log(F/5000)/log(0.02 t = log(F/5000)/log(1.02) Ot = log(F/5000)/log(0.98) t = log(F/5000)/log(-1.02)

The graphs of the functions y f(x), y g(x), and y h(x) are shown below. Each function is transformed into y= /f(x), y /g(x), and y = /h(x), respectively. Diagram 1 Diagram 2 Diagram 3 y 6. 4 (4.4) 2. (4.1 10 -2 + 810 10 (4.-4) 13. The number of invariant points on the original graph and its transformed graph for Diagram 1 is Diagram 2 is and thee Diagram 3 is

help please #7

2) An initial investment of $10,000 grows at 11% per year. What function represents the value of the investment after t years? R) - 10,000(1.11) R) - 10,000(1.11) - 10,000(11)' A) – 10,000(0.11)' a. c. b. d.

#16

1. Graph f(x) = log2 × carefully. your work.) %3D 10 -10 -5 10 -5- -10

Please help