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question. Click to begin.

Choose a point value.

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Bounded Function?

10 Point

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50 Points 50 Points 50 Points

Domain & Range

Increasing, Decreasing

Even, Odd,Neither

Find the domain and range:

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Find the range of the function:

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Find the domain and range:

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Graph the function to determine the domain and range from the graph:

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Use the graph of f to estimate the local maximum and local minimum

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Determine if the function is bounded above, bounded below, bounded on its domain, or unbounded on its domain:

Bounded Below

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Determine if the function is bounded above, bounded below, bounded on its domain, or unbounded on its domain:

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Unbounded

Estimate graphically the local maximum and local minimum of:

No local maximum; local minimum: -4.8

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a. Determine if the function is bounded below, bounded above, bounded on its domain, or unbounded on its domain.

b. Use the graph of f to estimate the local maximum and local minimum

a. Unbounded on its domain

b. Local maximum: 3.2

Local minimum: -3.2

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Determine the intervals on which the function is increasing, decreasing, and constant:

Decreasing on (-∞, ∞)

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Determine the intervals on which the function is increasing, decreasing, and constant:

(4, 8)(-4, 8)

Increasing on (4, ∞)Decreasing on (-∞, -

4)Constand on (-4, 4)

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Identify the open interval on which the function is increasing or decreasing:

f(x) = 2x3 – 12x2 + 1

Increasing (-∞, 0) and (4, ∞)

Deacreasing (0, 4)

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Identify the open interval on which the function is increasing or decreasing:

f(x) = x3 – 4x

Increasing on (-∞, -1) and (1, ∞)

Decreasing on (-1, 1)

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Identify the open interval on which the function is increasing or decreasing:

Increasing on (-∞, -3) and (-3, -1)

Decreasing on (-1, 1) and (1, ∞)

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Classify the function as even, odd, or neither

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Neither

Use the graph to determine if the function is odd, even, or neither:Why?

Even: Because it is reflected over

the y-axisJeopardy Board

Classify the function as even, odd, or neither: WHY?

Odd: Because when you rotate it 180° about the origin, it is the same

graph

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A.

Prove algebraically whether the

function is even, odd, or neither:

EVEN? f (-x) = f (x)-5-x3+7-x= -5x3+7x

5x3-7x= -5x3+7NOT A MATCH: NOT EVEN

ODD? f (-x) = - f (x)-5-x3+7-x= -(-5x3+7x) 

5x3-7x= 5x3-7xMATCH! THUS ODD

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Determine whether the graph is the graph of a function: Why?

NO! Does not pass the vertical

line testJeopardy Board

Which of the following is a function: WHY?

Because there is only one unique y-value for each x-value

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Determine if the function is one-to-one: Why?

YES! because it passes the

horizontal line test

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Explain

Yes! Because every x-value

has a unique y-value

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Which of the following data represents wind speed as a

function of lift?

A.

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Final Jeopard

yMake your wager

IN SECOND JEOPARDY!

Final Question