You might need: y 3+ 2+ 1+ 2 -4 -3 -2 -1 1 2. -1 -27 -3
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Answer: Options A and C.
Step-by-step explanation:
The parent exponential function has the form:
This can be transformated as following:
When you multiply the function by a factor <em>a</em> ()<em> </em>and <em>a>0 </em>, then the function is vertically stretched.
When you add a number <em>k</em> to the parent function, the function is shifted up ()
The parent function given in the problem is:
To obtain the function , the parent function is multiplied by a factor 3 (which is greater than 0) and the number 5 is added.
Therefore, the graph is shifted up and vertically stretched.
If
then the derivative is
Critical points occur where . This happens for
In the first case, we find
In the second,
So all the critical points occur at multiples of , or
. (This includes all the even multiples of
.)