Polynomials
Inverses
Exponential and Logs
Rational Functions
Trig. Functions!
100
What are the three properties of polynomials?
What is
- variable is in the base
- powers are whole numbers
- continuous everywhere
100
what is the use of an inverse?
What is
To undue a function
100
Evaluate the following without a calculator
log_3(1)
What is
0
100
How can you tell if you have a rational function?
What is
When a polynomial divides a polynomial
100
Describe a radian?
What is
When the radius of a circle is placed on its circumference.
200
What indicates if the end behavior faces opposite directions or the same direction?
What is
The degree
200
Given a graph with a point (3,9) name a point on the inverse?
What is
(9, 3)
200
What type of equation is needed to solve between logs and exponential equations?
What is
equivalent equation
y=b^x <=>log_b(y)=x
200
Name the two types of discontinuities found in the denominator of a rational function and how you can identify them.
What is
-holes: When you are able to simplify a factor from the denominator and numerator
-Vertical asymptotes: When a factor in the denominator cannot simplify.
200
What acronym can you use to remember if your trig answers are positive or negative?
What is
300
How can you tell if the end behavior will face the same direction or opposite, describe your answer.
What is
- Even degrees will have an end behavior that face the same direction.
- Odd degrees will have end behaviors that face opposite directions.
300
All inverse graphs reflect over what?
What is
y=x
300
Thinking of exponential equation when do we have a growth verses a decay equation.
f(x)=Cb^x
What is
Growth when b>1
and
Decay when 0<b<1
300
What is the domain of the following.
((x+1)(x-3))/((x-3)(x+6))
What is
(-oo,-6)U(-6,3)U(3,oo)
300
Convert the following to radians:
225^o=
What is
(5pi)/4
degree=radians x (180/pi)
400
Using the graph indicate the multiplicity of each x-intercept of the function:
What is
Odd degree/power/multiplicity at x=-3, 5
Even degree/power/multiplicity at x= 2
400
What are the requirements for a function to be invertible?
What is
- be one-to-one
- pass the horizontal line test
(else must restrict the domain)
400
Evaluate without a calculator
ln(sqrt(e^5))
What is
5/2
400
Consider the following rational function:
r(x)=(7x^3-5x)/(2x+9)
What is the end-behavior?
What is
lim_(x->oo)r(x)=oo
lim_(x->-oo)r(x)=oo
400
What quadrant is the following located in?
(23pi)/6
What is
Quadrant IV
500
Sketch the graph of the polynomial on a scratch piece of paper and hold it up to see.
f(x)=-x^3+x^2+12x
What is
500
Find the inverse of the following function
f(x)=x^2+3
What is
f^(-1)(x)=sqrt(x-3)
500
Solve the following and give the exact answer:
9^x-3^x-12=0
What is
log_3(3/2)
or unsimplified
log_3(8/4)
500
Find the discontinuity(ies) of the following:
r(x)=(2x^2+10x+12)/(x^2+3x+2)
What is
hole at (-2,-2)
vertical asymptote at x=-1
500
Evaluate:
cos((4pi)/3)xxsin(pi/6)
What is
(-1/2)xx(1/2)=-1/4