Question

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 function. a. What is the 3-unit growth factor for g? Preview b. What is the 1-unit growth factor forg? Preview c. What is the initial value of g? 9(0) - Preview d. Write a function formula for g. 9(x) = Preview

Answer 1

28 solution 1. cet f(x) = abe ( given that if is an exponential function >10 = 28 = axbº a=28 Similarly, f(2)= 63 = axb² 63=28xb² → b² = 63 =2.25 b=12.25 =1.5 = f(x) = 28x(1:5)? (A) 2-unit grauth factor for 'f' =(.5)² = 2.25 (6) 1 unit growth factor for 'f'= (1.5) = 1.5 (C.) initial value of 't' = f(0) = 28 (given in table). (d) function formula for 'f' = f(x) -f(x) = 28 x[1.5)

solution 1:a=567 proved pour Now we will solve for gl.e. g(x) = ab ² gel)=50 Egiven] a 6 = so a=506 Similarly 9 (2) = a b²= 29.6352 = 50 6xb2= 29.6352 » 63 = 29.6352 50 i b=129.635213= 0.84 so → a=sob=50x0.84=42 : g(x) = 42x60.84)- 0 (a.) 3- unit grourth factor for g'=(0.84) = (6) 1-unit growth factor for g'=0.84. (6) initial value of 'g ie, g (0) = 42 { using eq ] (d) function formula for ģ= g(x) = 42 x(0.84)*