Math Flashcards
What does “ I x I “ represent?
The distance x is from 0
What is “ I x - h I “
The distance x is from h
What is the determinant of the 2*2 matrix (a/c b/d)?
ad-bc
What does “ i “ represent?
Root -1
What is “i squared”
-1
What is the English for asymptote?
Tends towards
What is the English for exponent?
Index (Indicy)
What are the 3 horizontal asymptote rules?
Let N = the largest indicy in the numerator
Let D = the largest indicy in the denominator
- If N>D there is no horizontal asymptote
- If N=D the horizontal asymptote is y=the ratio of leading coefficients
- If N<D the horizontal asymptote is y=0
What must an absolute value be?
≥ 0
What solution will absolute value that is = -5
No solution since an absolute value is ≥ 0, so it can never equal to a negative
What solution is there to an absolute value that is ≤ -5
No solution since an absolute value is always ≥ 0 so it will never be < or ≤to a negative
What solution will there be to an absolute value that is ≥ -5
Infinite solutions since an absolute value is always 0 so it will always be > than a negative
When is there no horizontal asymptote?
When the largest indicy in the numerator is greater than the largest indicy in the denominator
When is the horizontal asymptote y = 0?
When the largest indicy in the denominator is greater than the largest indicy in the numerator
What is the horizontal asymptote when the largest indicy in the denominator is equal to the largest indicy in the numerator?
The ratio of leading coefficients