Polynomial functions
Rational functions
Exponential and Logarithmic functions
Limits and Conic sections
100
Sketch a graph of a basic form of a polynomial function that's positive and even
100
When do you have a slant asymptote?
When m>n / the graph goes to ±∞
100
Rewrite log749=2 to exponential form
72=49
100
limx->5 (x-5)(x+5)/(x-5)(x+6)
10/11
200
Determine whether this function is positive or negative and odd or even:
(x)2(x+6)4(x-2)
Positive and odd
200
When is there a hole in a graph?
When an x-intercept and a vertical asymptote are equal
200
Rewrite 92=81 to logarithmic form
log981=2
200
lim x-> 2+ x2+4x-12/(x-2)
8
300
Determine whether this function is positive or negative and odd or even:
(-x)3(x+4)1(x-3)4(x-9)2(x+7)3
negative and even
300
Find the hole in the Graph for (x2-25)/x3-8x2+15x
hole at x = 5
300
Solve for x: log(x-3) - log(x-5)= log 5
x=5.5
300
solve for the center, vertices, and foci points of equation (x+4)2/16 +(x-3)2/9 = 1
Center: (-4,3)
Vertices: (0,3) (8,3) (-4,0) (-4,6)
Foci: (-4+√ 7,3) (-4-√ 7,3)
400
Perform Function analysis on the following function:
(-x)3(x-3)(-x+7)5
D:(-∞,∞)
R: (-∞,∞)
F(x)>0 (-∞,0)(3,7)
F(x)<0 (0,3)(7,-∞)
Increasing(1.5, 5)
Decreasing (-∞,1.5)(5,∞)
400
Find the HA, VA, x, and y ints for3x+7/x+5
HA: x=3
VA: y=-5
y-int: 7/5
x-int: -7/3
400
Find the balance in an account after 5 years if $7,250 is deposited at 6% annual interest, compounded continuously.
$10,288.24
400
find an equation for a hyperbola with foci: (2+-10,4) and eccentricity of ⅕
(x-2)2/100 - (x-4)2/64=1
500
Perform Function analysis on the following function:
x5+5x4+3x3-9x2
D: (-∞,∞)
R: (-∞,∞)
F(x)>0: (1,3)
F(x)<0: (-∞,0)(0,1)
Increasing: (-∞,0)(0.5,2)(3,∞)
Decreasing: (0,0.5)(2,3)
500
Perform Function analysis for x3+6x2+6/x3+4 (decimals)
D: (-∞,1), (1,∞)
R: (∞,-1.587), (-1.587, -∞)
F(x)>0: (-∞,-6.158), (-1.587, ∞)
F(x)<0: (-6.158, -1.587)
Increasing: (0,1.834)
Decreasing: (-∞,-1.587),(-1.587,0),(1.834,∞)
500
The demand for a product is modeled by p=820-0.5e0.004x. Find the demand(x), if the price(p) charged is $600. Round to the nearest hundredth.
x=1,521.69
500
solve for the center, vertices and foci points of equation x2-5y2-8x-30y-39=0
Center: (4,3)
Vertices: (14/3)(-6,3)(4,3+-√ 20)
Foci: (4+-10-√20,3)