Question

1. Identify the initial amount a and the growth factor b in the exponential function. (1 poi

g(x) = 14.2*

o a=14, b= x

o a = 14 b = 2

oa = 28 b= 1

O a = 28 b = x

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Answer 1

B.
`a=14,b=2`

Explanation:

We have been given a function
`g(x)=14\cdot 2^x`. We are asked to find the amount a and the growth factor b in the exponential function.

We know that an exponential function is in form
`y=a\cdot b^x`, where,

y = Final amount.

a = Initial amount,

b = Growth factor,

x = Time

Upon comparing our given graph with exponential growth function, we can see that the initial value (a) is 14 and growth factor is 2.

Therefore, option B is the correct choice.