Mathematics: Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 3)(0,3) and (4, 7203)(4,7203).

24 yw :)Step-by-step explanation:...

Write an exponential function in the form y=ab^xy=ab

arjunchandrasek

10.04.2022

y = 3(7)^x

Step-by-step explanation:

Given

(x_1,y_1) = (0,3)

(x_2,y_2) = (4,7203)

Required

Determine an exponential function

Substitute 0 for x and 3 for y in y=ab^x

3 = ab^0

3 = a*1

3 = a

a = 3

Substitute 4 for x and 7203 for y in y=ab^x

7203= ab^4

Substitute 3 for a

7203= 3*b^4

Divide both sides by 3

2401= b^4

Take 4th root of both sides

$\sqrt[4]{2401} = b$

7 = b

b = 7

Substitute 3 for a and 7 for b in y=ab^x

y = 3(7)^x

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