What is the y-intercept of the exponential function?

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1 Answer
Dec 19, 2017

The answer is -1

Explanation:

The y-intercept is the point, where the graph of the fuction meets Y axis. The x coordinate must always be 0, because it is on the Y axis. The y coordinate is the value of this function at x=0x=0. So we have to evaluate it.
f(x)=-32(2)^(x-3)+3f(x)=32(2)x3+3
f(0)=-32(2)^(0-3)+3=-32(2)^(-3)+3=-32/(2^3)+3=-32/8+3=-4+3=-1f(0)=32(2)03+3=32(2)3+3=3223+3=328+3=4+3=1

It looks like you must answer with a number. The y coordinate will do its job.