Vero Beach Invitational – Calculus Individual / 2013

C 1.

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Vero Beach Invitational – Calculus Individual / 2013

B.

C.

D.

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Vero Beach Invitational – Calculus Individual / 2013

A 2.

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Vero Beach Invitational – Calculus Individual / 2013
1
Vero Beach Invitational – Calculus Individual / 2013

E 3.

C 4.

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Vero Beach Invitational – Calculus Individual / 2013

B 5.

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Vero Beach Invitational – Calculus Individual / 2013

D 6. By IVT, Everett knows that 16 is not a possible y-value because it is not within the given range.

D 7.

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Vero Beach Invitational – Calculus Individual / 2013

The curve must be differentiable is not a requirement.

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Vero Beach Invitational – Calculus Individual / 2013

A 8.

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Vero Beach Invitational – Calculus Individual / 2013

B 9. .

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Vero Beach Invitational – Calculus Individual / 2013
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Vero Beach Invitational – Calculus Individual / 2013

B10.

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Vero Beach Invitational – Calculus Individual / 2013

C 11.

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Vero Beach Invitational – Calculus Individual / 2013

B 12. f has a horizontal tangent at approximately x = 0 because the value of the derivative is zero.

D 13.

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Vero Beach Invitational – Calculus Individual / 2013

D 14.

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Vero Beach Invitational – Calculus Individual / 2013

B15. The largest value is found at f(-2)=63.

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Vero Beach Invitational – Calculus Individual / 2013

E16.

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Vero Beach Invitational – Calculus Individual / 2013

A 17. Monotonic means that the function is strictly increasing or decreasing.

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Vero Beach Invitational – Calculus Individual / 2013

A.

B.

C.

D.

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Vero Beach Invitational – Calculus Individual / 2013

E 18. Extreme Value Theorem

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Vero Beach Invitational – Calculus Individual / 2013

B 19.

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Vero Beach Invitational – Calculus Individual / 2013

E 20.

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Vero Beach Invitational – Calculus Individual / 2013

B 21.

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Vero Beach Invitational – Calculus Individual / 2013
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Vero Beach Invitational – Calculus Individual / 2013

A 22.

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Vero Beach Invitational – Calculus Individual / 2013
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Vero Beach Invitational – Calculus Individual / 2013

A 23. It is continuous on .

To not cross the undefined location at zero, it must be

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Vero Beach Invitational – Calculus Individual / 2013
-5 / -2 / 2 / 5 / -2
-2 / 0 / -5 / -5 / 3
2 / -1 / -2 / 2 / 2
3 / 1 / -3 / -2 / 5
5 / -3 / -1 / 3 / -5

D 24.

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Vero Beach Invitational – Calculus Individual / 2013

A 25.

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Vero Beach Invitational – Calculus Individual / 2013

C 26. Average rate of change for on [-2,2]=

Instantaneous rate of change for

g(5) is the derivative

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Vero Beach Invitational – Calculus Individual / 2013

D 27.

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Vero Beach Invitational – Calculus Individual / 2013

C 28.

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Vero Beach Invitational – Calculus Individual / 2013

B 29.

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Vero Beach Invitational – Calculus Individual / 2013

D 30.

1