Exit Ticket for Day 26 of Calculus

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1. Find the absolute minimum of the following function:

The absolute minimum is 6 and it occurs at x=7.

The absolute minimum is 6 and it occurs at y=7.

The absolute minimum is 7 and it occurs at x=6.

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2. Does the following function have a critical point at x=0?

Yes

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3. Which of the following is an appropriate statement of the "Extreme Value Theorem"?

If a function f(x) is defined for a domain A, the absolute maximum or minimum of function must be found at points that are OUTSIDE the domain A.

If a function f(x) is defined for a domain A, there cannot be any critical points on the domain A except for the absolute maximum and absolute minimum.

If a function f(x) is defined for a domain A, there is some point c inside of A that is the absolute maximum of f(x) on the range A.

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These are review problems:

4. What is the derivative of this function?

Option 1

Option 2

Option 3

Option 4

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5. What is the SECOND derivative of this function?

15x+3

5x +1

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