a. Consider the exponential function f(x) = 11.5(1.85) i. What is the unit growth factor for...
a. Consider the exponential function f(x) = 11.5(1.85) i. What is the unit growth factor for f? Preview i. What is the 2-unit growth factor for f? Preview ii. What is the 2-unit percent change for f? % Preview! b. Consider the exponential function g(r)-28(0.641 i. What is the -unit growth factor for g? Preview ii. What is the 1-unit growth factor for g? Preview ii. What is the 1-unit percent change for g? | Preview | % | Preview...
The following table represents values for an exponential function f where y= f(x) 2 y = f(2) 100 -1 0 1 2 120 144 172.8 207.36 227.15 272.58 3 4.5 5.5 Preview Use the table to complete the following. f(1) a. The value of the ratio is f(0) f(3) b. The value of the ratio is f(2) Preview c. The value of the ratio f(5.5) f(4.5) 1S Preview d. The 1-unit growth factor for this exponential function is Preview e....
Solve for both functions f&g using their dedicated tables. The table below shows some input-output pairs for an exponential function 2 0 2 46 f(z) 28 63 141.75 318.9375 a What is the 2-unit growth factor for f? Preview b. What is the l-unit growth factor for f? Preview c. What is the initial value of f? f(0) = Preview d. Write a function formula for f. f(3) = Preview The table below shows some input-output pairs for an exponential...
For each of the following accounts, give the growth factor per compounding period, then give the annual growth factor and the annual percent change (APY) a. Account A has a 5% APR compounded monthly. i. Monthly growth factor Preview ii. Annual growth factor: Preview iii. APY Preview b. Account B has a 3.6% APR compounded daily. Assume there are 365 days in the year. i. Daily growth factor Preview i. Annual growth factor: Preview iii. APY Preview
For each of...
Identify the base of the exponential function and the growth (or decline) factor as a percent. (a) h = 4(1.65) base 1.65 factor % (b) k = 4(0.05) base 0.05 factor %
Tell whether the function is an example of exponential growth or exponential decay. 15. f(x) = et 16. f(x) = e-* 17. f(x) = 3e* 18. f(x) = 2x 19. /(x) = 2e-2x 20. f(x) = -1/2 Match the function with its graph. 21. f(x) = (2x 22. f(x) = (2x - 2 A. 23. f(x) = (2x - 2 C. B. y y Graph the function. 24. f(x) = 2e 25. f(x) = fer-2 26. f(x) = -(2x +...
A 1 İ inch sunflower is planted in a garden and the height of the sunflower increases exponentially. The height of the sunflower increases by 29% every 4 days. a. What is the 4-day growth factor for the height of the sunflower? Preview b. What is the 1-day growth factor for the height of the sunflower? Preview c. What is the 1-day percent change for the height of the sunflower? % | Preview d. Write a function f that determines...
The function f has a domain of [0, 4 and a range of [0, 3]. Start by sketching a potential graph of f. a. Suppose the function g is defined as g(a) - f(r) +5. Determine the domain and range of g i. Domain: Preview no answer given ii. Range Enter an interval using interval notation [more..] 丼 revieW no answer given b. Suppose the function h is defined as h(x) - 3f(r). Determine the domain and range of h...
Suppose f(x) is an exponential function of the form f(x) = a(64) such that f(x) decreases by 25% 27 per unit of x and f(2) = 128 (a) Find a formula for the function f(x). Use proper function notation in your answer. (b) Suppose the variable x is measured in hours. What is the half-life of f(x)? In other words, how many hours does it take for the function quantity to decrease by half? Round your answer to two decimal...
Find the exponential function f(x)=a^x whose graph is given.
Find the exponential function f(x) = ax whose graph is given. f(x) y 20 (2, 16) 15 10 5 -3 -2 - 1 2 3