Question

HELP ASAP 40 Points ASAP

Answer 1

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`\displaystyle g(x) = 2(3)^x`

Step-by-step explanation:

`\displaystyle y = ab^x`

This is known as exponential growth. In this graph, the growth factor, which is represented by a
`\displaystyle [where\:0 \\e a],`begins at
`\displaystyle [0, 2].` Therefore, the equation in this case, must have a value of 2, represented by a. The multiplier [or constant], which is represented b
`\displaystyle [where\:1 \\e b],`is depended upon the division of the y-coordinates of both endpoints. This means the multiplier will be 3
`\displaystyle [3 = (6)/(2)].`

With all the information collected, the equation of this exponential graph is
`\displaystyle g(x) = 2(3)^x.`

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