Question

Find the equation for an exponential function that passes through the pair of points given below. (Round all coefficients to 4 decimal placer when necessary Example 2.]

Through (1,2.1) and (2,0.63)

f(x) = 

Answer 1

SOLUTION :

Let f(x) = a b ^ x 

If points (1, 2.1) and (2, 0.63) are on it, then 

2.1 = a b^1 = a b

and

0.63 = a b^2 

Taking ratio of these 2 equations.

=> 2.1/0.63 = 1/b

=> b = 0.63/2.1 

=> b = 0.3 

So,

a = 2.1 / 0.3 = 7 

So,

f(x) = 7 * (0.3)^x  (ANSWER

Answer 2

The answer is solved in the attachment.

And The given points 0,2) and (2,0-43) asre The exponential 'S equation Y=abX For thoe noiats (,2-) wite tare can =abx 2-1=a bo a =2.1 Ь -0 For noints 2,0.63 witten as is () 0-63= 0.63= 21b b=0.63 -0.3 2.1 in G a - 2. O-3 subatituting main equation the isn and a Y=7 0.3X