Chapter 1
Chapter 2
Chapter 3
Chapter 4
Extras
100
What is the domain and range of a function in words?
Domain: all possible input values into a given function f(x). Range: The set of all possible output values of f(x).
100
What is the vertex form of a quadratic function?
f(x)=a(x-h)^2+k
100
What is the exponential population model?
P(t)=P(1+r)^t
100
What is the conversion between radians and degrees, and degrees to radians?
radians--> degrees: multiply by (pi/180) degrees --> radians: multiply by (180/pi)
100
What is the vertical free fall motion formula?
-gravity: 9.8 m/sec or 32 ft/sec
200
What is horizontal and vertical asymptotes?
H.A. =Degree of Numerator vs Degree of Denominator V.A.= Set denominator Equal to 0.
200
What is the standard form of a polynomial?
f(x)=d(x)*q(x)+r(x)
200
What is the inverse of an exponential function?
log-base b (x)=y.
200
What are some of the tricks needed to complete the unit circle?
30-60-90 Triangles 45-45-90 Triangles
200
What is the formula for comparing the size of two earthquakes?
Log (a_1/a_2)
300
What is the composition of a function f of g?
f(g(x)).
300
Given a polynomial f(x), What is the solution(or root), zero and factor of the function?
x=k --> solution (or root) (x-k) --> factor k --> is the zero.
300
What is the common log, and natural log.
Log base 10, log base e.
300
Draw the sine and cosine graph, label correctly.
Sin starts at 0, cosine starts at 1.
300
Is a given polynomial has a root of a complex number, what does that imply?
The complex conjugate is also a root.
400
What must hold in order for two functions to be inverses of one another?
f(g(x))=g(f(x))=x
400
What is the fundamental theorem of algebra?
A polynomial function of degree n has n complex roots ( real and complex roots).
400
What are the 3 properties of logarithms?
Power Quotient Product
400
What are the six trigonometric functions and their identities?
sin, cos, tan, csc, sec, cot
400
What are the two ways to put a quadratic from standard form to vertex form?
Complete the square, shortcut.
500
What are the 3 basic transformations that can be applied to a function?
Reflections Vertical and Horizontal Shift Stretch or Shrink
500
What is the end behavior of a rational function?
lim as x approaches the vertical asymptotes lim as x approaches horizontal asymptotes from both sides
500
What is Newton's Law of Cooling?
T(t)=T_m +(T_0-T_m)e^(-kt)
500
Draw and Label the initial side, terminal side, positive and negative angles of any regular angle.
Must show all work!
500
What was the name of the famous mathematician who discovered the number e?
Euler
M
e
n
u