Trig
Limits
Rational Functions
Continuity
Misc.
100
Evaluate sin(1200)
cos( (5pi)/4 )
tan(330o)
sqrt3/2
sqrt2/2
-sqrt3/3
100
a) -inf
b) inf
c) DNE
d) 5
e) DNE
f) 5
100
Simplify (x^2+16x+64)/(x^2-2x-80)
(x+8)/(x-10)
100
List the three pieces we need to determine if a function is continuous.
1) f(a) exists
2) lim as x approaches a exists
3) lim as x approaches a = f(a)
100
What book is Ms. Kingsley currently reading?
Sunrise on the Reaping
200
Convert (3pi)/4 to degrees.
Convert 315o to radians.
135o
(7pi)/4
200
Evaluate the limit as x approaches 2 if f(x)= (x^2-2x)/2 .
0
200
Simplify (21x^3)/(7x^4+35x^3)
3/(x+5)
200
Given f(x)= {19-4x^2,x>2 and 9-2x, x<2 , is f(x) continuous at 2? Explain.
No, 2 is not included in either function
200
What town is Ms. Kingsley from?
Buena Vista, VA
(I'll also accept Grottoes or Lexington)
300
Simplify (sin2x)(cotx)(secx)
cosx
300
Find the limit as x approaches 0 if f(x)= (sqrt(x+3) -sqrt3)/x
1/2sqrt(3)
300
Find all values that make the expression undefined:
(x^2-81)/(8x+16)
When x = -2
300
List all values for which the graph is discontinuous on (-9,9). State the type of discontinuity.
x=-5 (removable)
x=-3 (removable)
x=-2 (jump)
x=0 (removable)
x=7 (infinite)
300
What sport did Ms. Kingsley coach at Rockbridge Highschool?
Tennis
400
Solve for x on [0,2 pi ) if 3sinx + 2 = 5.
x=
pi/2
400
Find the limit as x approaches 0 if f(x)= ((x-6)^2-36)/x
-12
400
Given f(x)= (-4x-4)/(3x-2) , find the horizontal and vertical asymptotes, x-intercept, y-intercept, and holes.
HA: y=-4/3
VA: 2/3
x-int: (-1,0)
y-int: (0,2)
hole: none
400
Define f(x)= (x^2-5x+4)/(x-4) so that it is continuous over all real numbers.
Piecewise, that function when x does not equal 4, 3 when x=4.
400
How many pets, and what kind, does Ms. Kingsley have?
2 dogs
500
Find the limit as x goes to 0 of tan(x)/(3x)
1/3
500
Find the limit as x approaches 0 if f(x)= (4x^2+sin(4x)-2x)/(2x)
1
500
Identify all x values where f(x)= (2x^2-8)/(x^2-3x+2) is discontinuous.
x = 2
x = 1
500
Find k that makes the function continuous.
k=-1/2
500
What is Ms. Kingsleys favorite band?
Blink182
I'll give credit if you give a band in the same genre