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=0#. So we have to evaluate it.
#f(x)=-32(2)^(x-3)+3#
#f(0)=-32(2)^(0-3)+3=-32(2)^(-3)+3=-32/(2^3)+3=-32/8+3=-4+3=-1#

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