the 18) use definition to deformine whether or not given functions are uniformly continuous a) for X xe (0,11 b) fix XE TO, 2) 1 f(x) = x c) f(x)= € 3 ✗x= [0,2) d) f(x) = 1 1/2 X= [1, 0) x+4 ха

What is the purpose of the Intermediate Value Theorem?

Determine if the statemment is true or false. If the statement is false, then correct it and make it true. If the function f increases on the interval -,x1 and decreases on the interval x1,, then fx1 is a local minimum value.

Margy and Nate are working on taking the derivative of fx=23x+14. Margy uses the quotient rule and chain rule as follows: f'x=3x+140-243x+1333x+18 f'x=-243x+133x+18=-243x+15. Nate rewrites the function and uses the power rule and chain rule as follows: fx=23x+1-4 f'x=-423x+1-53=-243x+15. Compare the two procedures. Which procedure do you think is preferable?