"What is the End Behavior and Average Rate of Change for each function?"
1. f(x) = x²
2. f(x) = |x|
3. f(x) = √x
4. f(x) = log x
5. f(x) = 2^x
6. f(x) = 1/x
I graphed each one into Desmos but I don't know how to find the end behavior or the rate of change. Please help. I'm very confused. Thanks.
+128448 "What is the End Behavior and Average Rate of Change for each function?"
I wouldn't expect you to know the average rate of change unless you have had Calculus
Thus....unless.....you will just have to take my word for this part of the answer
1. f(x) = x²
End behavior = up at both ends.....average rate of change = 2x
2. f(x) = |x|
End behavior = up at both ends ......average rate of change = x / √x^2
3. f(x) = √x
End behavior....on the left end, x =0 and y = 0 at the right end, "up" .....avg rate of change = 1 / [2√x ]
4. f(x) = log x
End behavior .....tends toward neg infinitiy as x approaches 0 from the right.....up on the right
Avg rate of change = 1 / x
5. f(x) = 2^x
End behavior.......tends toward y = 0 on the left side .....positive infinity on the right
Avg rate of changle = Ln (2)*2^x
6. f(x) = 1/x
End behavior........tends toward y = 0 on the left and tends toward neg inf as x approaches 0 from the left
Not defined at x = 0
Tends toward positive infinity as x approaches 0 from the right.....and then toward y = 0 on the right
Avg rate of change = log x
