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katen-ka-za [31]
3 years ago
12

In general, the y intercept of the function F(x)= a•b^x is the point

Mathematics
1 answer:
serg [7]3 years ago
4 0

The y intercept of this function is always (0, a).


This is because when we place 0 in for x (which is the only way it'll be on the y-axis, we get 'a' as a result. This is because of the rule that raising anything to the 0th power will result in the number 1 and multiplying anything by 1 gives us the same number. See the work below for the example.


F(x) = a*b^x

F(0) = a*b^0

F(0) = a*1

F(0) = a


And for an example with a random number, we'll use a = 5 and b = 3


F(x) = 5*3^x

F(0) = 5*3^0

F(0) = 5*1

F(0) = 5


No matter what a and b equal, the intercept will be the a value.

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