The exponential function represented by the table can be written in the form y=ab^x. Find the values for a and b.
Question
Answer:
If this function can be written in the form y = ab^x, then we see that when x is inputted as 0, y is outputted as 4. This means that4 = ab^0
a = 4
The value of a is 4.
We see that when x = 1, y = 2 thus
y = 4b^x
2 = 4(b^1)
b = 1/2
The answers are a = 4 and b = 1/2
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11 months ago
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