Logarithms
What is the base for the common logarithm?
10
Define range.
Possible y values, or outputs, for a function.
What is the formula for finding a 2x2 determinant?
ad-bc
If a polynomial has the following two roots: -1 and 4-i. What is its third root?
4+i
What was Ms. Clowdus' major in college?
Applied Math
Condense the following: log2x-log24
log2(x/4)
What is the range of y=x+2?
All real numbers or (-inf, inf).
What is the formula for finding z using Cramer's rule?
Dz/D
Name ALL possible roots for the following polynomial: f(x)=2x3 -10x2+14x-1
1, -1, 1/2, -1/2
What kind of pet does Ms. Clowdus have?
Cat
Find logb16 if logb2 = 0.3562.
logb16 = logb24 = 4logb2 = 4(0.3562) = 1.4248
What is the domain of f(x)= sqrt(x-6)?
All real numbers greater than or equal to 6 OR [6, inf.)
Write the system as a single augmented matrix:
x+ y- z = 10
2x- 3y = -1
-x+ 6y- 2z = 3
1 1 -1 | 10
2 -3 0 | -1
-1 6 -2 | 3
How do we find if a function has a horizontal asymptote?
The horizontal asymptote is determined by looking at the degrees of the numerator (n) and denominator (m). If n<m, the x-axis, y=0 is the horizontal asymptote. If n=m, then y=an / bm is the horizontal asymptote.
How many siblings does Ms. Clowdus have?
2
Solve for x.
4x = 8x-1
x=3
What is the parent graph of the following: f(x)=-2(x-1)3+5
f(x)=x3
What are we solving for when we use Gauss-Jordan elimination?
Unknown variables (x,y,z)
What are the zeros of the following polynomial: f(x) = x2-16?
(-4,0) and (4,0)
How many concerts did Ms. Clowdus go to in 2022? Hint: it is between 1 and 15.
6
Condense the following into ONE logarithm:
2 ln(x-1) - 4 ln(x)
ln( (x-1)2/x4 )
Describe the transformations IN ORDER for the following: f(x)= -4(x+1)2-10
Vertical stretch by 4, reflect over x-axis, left 1 and down 10.
What do we call a matrix that is NOT invertible?
Singular
What is the the simplest polynomial that has the following roots: 2, 3+i, 3-i
(x-2)(x-(3+i))(x-(3-i))
How many tattoos does Ms. Clowdus have?
4