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Click Once to BeginJEOPARDY!

Midterm 1: Functions, Graphing, and Transformations

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JEOPARDY!

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500 500 500 500 500

Real LoveHere, There,

and Everywhere

Tell me “Y” The WordMagical Mystery

Tour

Real Love-100

What the graph of the expression:

looks like

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Answer

What is an open circle or parenthesis at x=3 and x=-3 and shading between them?

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Real Love-200

All values of that satisfy the inequality:

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Answer

What are x=1 and x=1/5?

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Real Love-300

In interval notation, the values of that satisfy the inequality:

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Answer

What is (2/3 , 3)?

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Real Love-400

The solution of the inequality

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Answer

What is

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Real Love-500

Solution of

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Answer

What is

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Everywhere-100

It’s how the graph of moves when you plot

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Answer

What is one unit to the right?

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Everywhere-200

Draw the graph of with correct intercepts and vertex.

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Answer

-4 -3 -2 -1 0 1 2 30123456789

10

f(x)

f(x)

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Everywhere-300

The exact vertex coordinates of the parabola described by

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Answer

What is ?

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Everywhere-400

The range of the function

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Answer

What is ?

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Everywhere-500

The graph of

with correct vertex and intercepts.

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Answer What is

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-4 -3 -2 -1 0 1 2 3 4 5 60

2

4

6

8

10

12

14

f(x)

f(x)

Tell me “Y”-100

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It’s the exact distance in the plane between (-3,8) and (5,4)

Answer

What is

Or

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Tell me “Y”-200

The shape or shapes you shade in when describing the region in the plane that satisfies

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Answer

What is everything except a vertical strip from

x=-2 to x=2?

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Tell me “Y”-300

The center and radius of the circle

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Answer

What are center (0,1) and radius 1?

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Tell me “Y”-400

The center and radius of the circle

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Answer

Since is the same as ,

What are center (0,-2) and radius 1?

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Tell me “Y”-500

If f(x)=1/(x-1)+2, these are:

(a)the domain of ,

(b)its intercepts, and

(c) the value of for which

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Answer

(a)All or

(b)x-intercept (1/2,0) and y-intercept (0,1)

(c)x=4/3

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The Word-100

Calculus can be used to show that a ball thrown straight upward from the top of a building 128 ft high, with an initial velocity of 48 ft/sec, has a height of

seconds later.

This is the time interval when the ball is at least 64 feet above the ground.

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Answer

What is seconds?

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The Word-200

An open rectangular box is to be made from a piece of cardboard 8 inches wide and 8 inches long by cutting a square size -by- from each corner and bending up the sides. Express the volume of the box as a function of size of the cutout.

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Answer

What is

?

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The Word-300

A new computer workstation costs $10,000. Its useful lifetime is 5 years, at which time it will be worth an estimated $2,000. Using a linear decline method that’s legal under U.S. tax law, how much will the equipment be worth after 2.5 years?

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Answer

The model of worth in dollars as a line is

so at , we have

.

What is $6,000?

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The Word-400

The average weight , in grams, of a fish in a particular pond depends on the total number of fish in the pond according to the model . Since the total fish weight production in the pond is , at what number is the maximum production reached?

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Answer

Since , the maximum occurs at fish in the pond.

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The Word-500

The manager of a manufacturing company finds it costs $3200 to produce 100 units of product per day and $9600 to produce 500 units per day. Assuming the cost function is linear, what does the slope of represent?

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Answer

What is the number of dollars to produce one unit?

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Tour-100

What is the domain of ?

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Answer

What are reals less than or equal to zero? or or

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Tour-200

What is a visual way to determine whether a graph represents a function?

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Answer

What is the Vertical Line Test?

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Tour-300

Given that for a circle, this is the area of the region that lies outside the circle

and inside the circle

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Answer

What is

?

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Tour-400

All symmetries of the function .

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Answer

What is y-axis symmetry (evenness)?

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Tour-500

Find the domain of the function:

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Answer

What is ?

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-2 -1 1

Final Jeopardy

That’s All Right (Mama)

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Please place your team wager now.

Final Jeopardy

The line perpendicular to passing through the point (3,1).

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Final Jeopardy

What is ?

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Please place your team wager now.

Daily Double!!!

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Please place your team wager now.

Daily Double!!!