Functions
What transformation occurs in f(x)=x2+3?
Vertical shift up 3 units
How many zeros can a cubic polynomial have?
Up to 3.
Solve: 23
8.
What is:
sin(90)
1
What type of sequence adds the same number each time?
Arithmetic.
Find the domain of f(x) = 1/x-5
x = 5
What is the end behavior of:
f(x)=-2x4
Both ends go down.
Rewrite in logarithmic form:
102 =100
log(100)=2
State the period of:
y=sinx
2pi
Find the next term:
2,4,8,16,_
32.
If f(x)=|x|, what does g(x)=|x-4| do to the graph?
Shifts right 4 units.
Find the vertical asymptote:
f(x)=3/x+2
x = -2
What is the y-intercept of:
f(x)=3(2)x
3
What quadrant is:
theta = 5pi/4
in?
Quad lll
Find the common difference:
7,11,15,19
4.
State whether the function is even, odd, or neither:
f(x)=x3
Odd.
Factor completely:
x2-9
(x-3)(x+3)
Simplify:
log(xy)
log x + log y
Find:
tan (pi/4)
1
Write the explicit formula:
3,6,12,24
an=3(2)n-1
A function passes the vertical line test but fails the horizontal line test. What does this mean?
It is a function but not one-to-one.
What is the multiplicity of the zero in:
(x-2)3
3
A population doubles every 5 years. Is this linear or exponential growth?
Exponential growth
Identify the amplitude of:
y = 4cosx
4.
Find the sum:
1+2+3+4+5
15.