Chapter 9.3, Problem 15E

Find the exponential function f(x) = a\ whose graph is given. f(x) y 4 1 2, 25 X -3 -2 -1 1 2 3 -1 3.

In Exercises 27 and 28, the graph of an exponential function with base a is given. Follow the directions in parts (a)-(f) in each exercise. 27. y f(x)=a" (1, a) (0, 1) (a) Is a > 1 or is 0 < a < 1? (b) Give the domain and range of f. (c) Sketch the graph of g(x) = -a. (d) Give the domain and range of g. (e) Sketch the graph of h(x) = a. (f) Give the domain and range of h.

Sketch the graph of the function

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

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

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)

Use exponential regression to find the value of y when x = 50. Round your answer to the nearest whole number. 5 10 15 20 25 30 35 y 212 223 235 249 263 280 306

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