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Factoring, Finding the Roots of an Equation
Calculating Limits
Discontinuities
Rational Functions
Miscellaneous
100

The factored form of x^2 +8x + 16 and roots of this quadratic equation.

What is (x + 4)^2 or (x + 4)(x+4) and x = -4

100

The limit as x approaches -10 of f(x) =( 1/2 ) (x)^2

What is 50?

100
The instance when there is a jump discontinuity at x = c.
What is when the finite left-sided limit does not equal to the finite right-sided limit.
100
The vertical asymptote of f(x) = 1/(3x - 4)
What is x = 4/3?
100

The factored form of 4x^2 - 16.

What is 4(x+2)(x-2)?

200
The factored form of 8x^7 - 12x^3
What is 4x^3(2x^4 - 3)?
200
The limit as x approaches positive infinity of f(x) = 4/(x^3 - x^2 + 3x - 8)
What is y = 0?
200

The value of the limit of as x approaches 7 when its left sided limit is 12 and the right-sided limit is 8

What is "does not exist"?

200

The horizontal asymptote and vertical asymptote of f(x) (24x-9)/(8x + 5).

What is y = 3 and x = -5/8?

200

The evaluation of f(x) = -3x^2 at x = 6.

What is -108?

300
The factored form of 8x^3 -1 is which of the following? (a) (4x -1)(2x^2 -1) (b) (2x -1)(4x^2 +2x -1) (c) (4x^2-1)(4x -1) (d) (2x - 1)(4x^2 - 2x -1)
What is (2x - 1)(4x^2 + 2x -1)?
300

DAILY DOUBLE!!!!!!! The limit of a function f(x) in which it is equal to 4x -12 for x less than or equal to 5 and it equals to 2^(x - 2) or 2 raised to the (x - 2) power for x > 5). 

Continuous or discontinuous?


What is 8?

What is continuous?

300
A function continuous everywhere except at a particular value of "x" has a __________________________.
What is a removable discontinuity?
300

The vertical asymptotes and the horizontal asymptote of the function f(x) = 4/(2x^2 - x - 10).

What are x = 5/2, x = -2, and y = 0?

300

Ms. Berger's favorite candy.

What are Reese's Peanut Butter Cups?

400
(a) The vertical asymptotes of f(x) = 7/(4x^2 - 4x - 35) (b) The type of discontinuity at those vertical asymptotes.
(a) What are x = 7/2 and x = -5/2 (b) What is an infinite discontinuity
400

The value of the limit as x approaches -2 of f(x)=2/x-2

What is -1/2?

400

The type of discontinuity of a function having a vertical asymptote at x = -3. From the left, as the function approaches the asymptote, it increases rapidly, but never makes contact with that asymptote.

What is infinite discontinuity ?

400

The vertical asymptotes of f(x) = 12/(2x^2 - 7x - 4).

What are x = -1/2 and x = 4?

400

Fill in the blank.

"Don't touch my ________."

What is asymptote?
500

DAILY DOUBLE********* The factored form of the trinomial and the roots of the equation. 3x^2 + 3x - 60 =0

What is 3(x^2 + x - 20) = 3(x - 4)(X+5)? What are x = 4 and x = -5?

500

DAILY DOUBLE!!!!!!! (a) The limit of a function f(x) = 1/(4x -6) - 18 as x approaches infinity and (b) The vertical asymptote. (c) The right sided limit of f(x) as x approaches the vertical asymptote.

(a) What is y = -18? (b) x = 3/2 (c) + infinity.

500

The type of discontinuity in which the limit approaching "c" exists, but is not equal to f(c), which is defined.

What is removable discontinuity?

500

DAILY DOUBLE!!!!!!! Find the vertical asymptotes, horizontal asymptote, and holes of f(x) = (2x^2+3x-14)/(x^2+2x-8), if they exist.

VA: x=-4
HA: y=2
Hole: x=2

500

Mrs. Freehill's favorite Disney movie.

What is Beauty and the Beast?