Question

Write an exponential function in the form y = ab" that goes through points (0,19) and (6, 1216).

Answer 1

The exponential function is $y=19*2^x$

Step-by-step explanation:

The exponential function in the form of $y=ab^{x}$

First find the value of a and b if x=0 and y=19

$y=ab^x\\\\19=ab^0\\\\\\19=a*1\\\\\\19=a$

Find the value of b in $y=ab^x$

where x=6,y=1216  and a=19

$1216=19b^6\\\\\\1216/19=b^6\\\\\\64=b^6\\\\\sqrt[6]{64} =b\\\\2=b$

The function is $y=19*2^x$

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