ATT LTE 811 PM 67iiO imathasrationalreasoningnet The funct

AT&T; LTE 8:11 PM @ 67%.iiO. + imathas.rationalreasoning.net The function f is an exponential function that passes through the points (0, 150) and ( 1,350). Use this information an the graph of the function g below to answer the following questions. Note y = f(z) -1.350) 2 a. Initial value: 150 Preview b. 1-unit growth factor: 0.428 Preview c. 1-unit percent change: -57.2 Preview d. Function: If(x)=150(64.2)% Preview Hint: Remember the initial value is the value of the

Solution

we have two points ( 0,150 ) and ( -1 , 350 )

standard exponential function is given by

y = ab^x

plugging each point we get

150 = a(b)^0

a = 150

350 = ab^-1

350 = 150/b

b = 150 / 350 = 3/7

hence, function is

f(x) = 150 ( 3/7)^x