Question 563867: y=2^x/2-4
indicate the x-intercept and y-intercept.
thank you.
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website! Assuming there is no typo, you are asking about y=2^x/2-4, which means
THE LOGARITHM ANGLE
The y-intercept is the y-coordinate for the point where the graph of the function intercepts the y-axis, where  . At that point,
Of the 3 ways to express that number:  , pick the one that was expected from you.
The x-intercept is the x-coordinate for the point where the graph of the function intercepts the x-axis, where  . At that point,
 -->  -->  --> 
So the x-intercept is 3, and that's where logarithms come in.
However, I do not even think of logarithms to solve that. Everyone knows that  , doesn't everybody? That's why I was tempted to reclassify this problem as something other than Algebra: Logarithm.
ANOTHER ANGLE (although it would be the long way to the solution)
could be written as
 or as
and the alternate expressions can be used to compare the graph of the function to the graph of
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