Question

The exponential function fff, represented in the table, can be written as f(x)=a\cdot b^xf(x)=a⋅b
x
f, left parenthesis, x, right parenthesis, equals, a, dot, b, start superscript, x, end superscript.
xxx f(x)f(x)f, left parenthesis, x, right parenthesis
000 999
111 151515
Complete the equation for f(x)f(x)f, left parenthesis, x, right parenthesis.
f(x)=f(x)=f, left parenthesis, x, right parenthesis, equals

Answer 1

f(x) = 9 * (5/3)ˣ  , a = 9  , b = 5/3  if f = a * bˣ  and  f(0) = 9  & f(1) = 15

Step-by-step explanation:

f = a * bˣ

x = 0  f = 9

x = 1  f = 15

f(0) = 9

=> a * b⁰ = 9

=> a * 1 = 9

=> a = 9

=> f(x) = 9 bˣ

f(1) = 15

=> 9 * b¹ = 15

=> b = 15/9

=> b = 5/3

a = 9  , b = 5/3

f(x) = 9 * (5/3)ˣ

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Answer 2

Answer: f (x) = 5 (8/5)^x

Step-by-step explanation: