Domain & Range
What is the range of this function?
f(x)=x2
[0,∞)
Is the function f(x) = -x2 bounded below, bounded above, both, or neither?
Bounded above
What is f+g and f/g ?
f(x) = 2x-8
g(x) = x2
f+g(x) = x2+2x-8 (order of terms doesn't matter)
f/g(x) = (2x-8)/(x2)
Describe the transformation from f to g.
f(x) = x
g(x) = (x+3)
Transformation to the left 3 units
What town is my apartment in?
New London
What is the domain of this function?
g(x) = x/(x-3)
(-∞,3)U(3,∞)
Is the cubic function bounded below, bounded above, both, or neither?
neither
What is the inverse of the function:
f(x) = x3-7
f-1(x) = 3√(x+7)
Describe the transformation from f to g.
f(x) = x2
g(x) = -3x2
Reflection over the x-axis and a vertical stretch by a factor of 3
What sport(s) did I do in high school and college?
Cross Country and Track & Field
What is the domain and range?
f(x) = √(4-x) + 5
domain: (-∞, 4]
range: [5, ∞)
Find the horizontal asymptotes
f(x) = (4x)/(2x-6)
HA: y=2
f(x) = x3-1
g(x) = (x-6)2
1
Is the function ex one-to-one?
Yes, it passes both the vertical and horizontal line tests.
***NOTE: One-to-one means each x corresponds with only one y and each corresponds with only one x
In what state did I live for 5 years?
Maine
What is the domain?
f(x) = x2/(x2-5x+6)
domain: (-∞,2)U(2,3)U(3,∞)
Find the horizontal and vertical asymptotes of the function:
f(x) = (x)/(x2-9)
Horizontal asymptote: y=0
Vertical asymptotes: x=3 and x=-3
Which of the following are bounded below, but not above? (May be more than one...)
exponential function ex
logistic function
square root function
cosine function cos(x)
exponential function AND square root function
Which of the following functions are one-to-one. (May be more than one)
y=sin(x)
y=x3
y=x
y=x2
y=x and y=x3 both pass both the horizontal and vertical line tests.
***NOTE: One-to-one means each x corresponds with only one y and each corresponds with only one x!!!!!!!!!!!!!
What is my favorite fast food place?
Wendy's
What are the domain and range?
h(x) = |x-2|+(1/(x+2))
domain: (-∞,-2)U(-2,∞)
range: all reals (-∞,∞)
Find all HAs and VAs
f(x) = (3x3)/(x2)
No HA
No VA
Which of the following are even functions? (May be more than one...)
identity function
absolute value function
squaring function x2
cubic x3
absolute value AND squaring function
A tire is making three rotations per second. If the radius of the tire is 8 inches, how many inches per second is the tire moving?
3*2(8)*ℼ=48(pi)=150.8 inches per second
There will be one like thus (but harder) on the test review and test!
Name the artist of the record displayed on my record player (it was my anuncios slide, it starts with an "S")
Stevie Wonder