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Bernards High School

SUMMER REVIEW PACKET

For students in entering AP CALCULUS BC

Name: __________________________________________________________

1. This packet is to be handed in to your Calculus teacher at September 18, 2015

2. All work must be shown in the packet OR on separate paper attached to the packet.

3. The problems must be in numerical order.

4. Completion of this packet is worth 100 points and will be counted in your first marking period grade.

Summer Review Packet for Students Entering AP Calculus BC

Complex Fractions

When simplifying complex fractions, multiply by a fraction equal to 1 which has a numerator and denominator composed of the common denominator of all the denominators in the complex fraction.

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Example:

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Simplify each of the following.

1. 2. 3.

4. 5.

Functions

To evaluate a function for a given value, simply plug the value into the function for x.

Recall: read “f of g of x” Means to plug the inside function (in this case g(x) ) in for x in the outside function (in this case, f(x)).

Example: Given find f(g(x)).

Let . Find each.

6. ____________ 7. _____________ 8. __________

9. __________ 10. ___________ 11. ______

Let Find each exactly.

12. ___________ 13. ______________

Let . Find each.

14. 15. 16.

Find for the given function f.

17. 18.

Intercepts and Points of Intersection

To find the x-intercepts, let y = 0 in your equation and solve.

To find the y-intercepts, let x = 0 in your equation and solve.

Example:...