THE FINAL EXAM Good Luck Directions The questions

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THE FINAL EXAM Good Luck!

THE FINAL EXAM Good Luck!

Directions • The questions are all multiple choice • Use a calculator only if

Directions • The questions are all multiple choice • Use a calculator only if directed to • Give yourself 1 point every time you get a question right • Challenge questions are not multiple choice • Give yourself 2 points every time you get a Challenge question right

No calculators! Find the equations of the inverses of the following functions (assume the

No calculators! Find the equations of the inverses of the following functions (assume the functions have an inverse:

Challenge No calculators! Find the inverse of:

Challenge No calculators! Find the inverse of:

Determine if the following functions have inverses. If not, identify the places where the

Determine if the following functions have inverses. If not, identify the places where the function needs to be split up in order to have an inverse. Calculators permitted

No calculators! Find the derivatives of the inverses of the following functions (assume all

No calculators! Find the derivatives of the inverses of the following functions (assume all functions have inverses):

Challenge No calculators! What do the following functions have in common? They are their

Challenge No calculators! What do the following functions have in common? They are their own inverses.

Find the limits below. You may use calculators. This section is not multiple choice

Find the limits below. You may use calculators. This section is not multiple choice and problems count 1 point each. 1 0 1 1 Remember that I said you could use calculators

Challenge Evaluate the following limit without a calculator.

Challenge Evaluate the following limit without a calculator.

Were done! Good job. Now count up your points. There were a total of

Were done! Good job. Now count up your points. There were a total of 13 points on this exam. Add up all of your points and divide by 13. If you got some of the Challenges right, you might get higher than 100% +100% - 91% 90%-81% 80%-71% 71%-61% 60% or less