The factored form of x^2 +8x + 16 and roots of this quadratic eqwuation.
What is (x + 4)^2 or (x + 4)(x+4) and x = -4
100
The both sided 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 both sided 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
DAILY DOUBLE!!!!!!!!!!!!
The y = k+[a/(x - h)] form of f(x) (24x-9)/(8x + 5) and the horizontal asymptote and vertical asymptote of this function.
What is y = 3 -[6/(8x + 5)], 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
The both-sided 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) and a description of the behavior at that point
What is 8 and 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
The value of sin(11 pi / 6)
What is -(sqrt3)/2?
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 pi)/3 of f(x) = cos x
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 = 4/3 and x = 1?
400
DAILY DOUBLE !!!!!!!!!!!!!!!!
The cosine value in quadrant III for a right triangle with tangent = -4/3
What is -3/5?
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 whch both sided limit approaching "c" exists, but is not equal to f(c), which is defined.
What is removable discontinuity?
500
DAILY DOUBLE!!!!!!!!!!!!!!!!
(a) The "transformed" equation of
f(x) = (14x +30)/(2x +6) into
f(x) = k + a/(x - h) form. Factor and reduce as much as possible.
(b) The vertical asymptote.
(c) The horizontal asymptote
(a) What is f(x) = 7 -[ (-6)/(x+3)]
(b) x = -3
(c) x = 7
500
The sine identity function in terms of the cosine from the Pythagorean Identity Formula at a given angle called A