Math

Question 1

What does “ I x I “ represent?

Answer 1

The distance x is from 0

Question 2

What is “ I x - h I “

Answer 2

The distance x is from h

Question 3

What is the determinant of the 2*2 matrix (a/c b/d)?

Answer 3

ad-bc

Question 4

What does “ i “ represent?

Answer 4

Root -1

Question 5

What is “i squared”

Answer 5

-1

Question 6

What is the English for asymptote?

Answer 6

Tends towards

Question 7

What is the English for exponent?

Answer 7

Index (Indicy)

Question 8

What are the 3 horizontal asymptote rules?

Answer 8

Let N = the largest indicy in the numerator
Let D = the largest indicy in the denominator

1. If N>D there is no horizontal asymptote
2. If N=D the horizontal asymptote is y=the ratio of leading coefficients
3. If N<D the horizontal asymptote is y=0

Question 9

What must an absolute value be?

Answer 9

≥ 0

Question 10

What solution will absolute value that is = -5

Answer 10

No solution since an absolute value is ≥ 0, so it can never equal to a negative

Question 11

What solution is there to an absolute value that is ≤ -5

Answer 11

No solution since an absolute value is always ≥ 0 so it will never be < or ≤to a negative

Question 12

What solution will there be to an absolute value that is ≥ -5

Answer 12

Infinite solutions since an absolute value is always 0 so it will always be > than a negative

Question 13

When is there no horizontal asymptote?

Answer 13

When the largest indicy in the numerator is greater than the largest indicy in the denominator

Question 14

When is the horizontal asymptote y = 0?

Answer 14

When the largest indicy in the denominator is greater than the largest indicy in the numerator

Question 15

What is the horizontal asymptote when the largest indicy in the denominator is equal to the largest indicy in the numerator?

Answer 15

The ratio of leading coefficients

Question 16

When do x intercepts occur in asymptotes?

Answer 16

When ONLY the numerator equals 0

Question 17

When do vertical asymptotes occur?

Answer 17

When ONLY the denominator = 0

Question 18

When do holes occur in asymptotes?

Answer 18

When both the numerator and the denominator = 0

Question 19

How do you find the x value of a hole in an asymptote?

Answer 19

It is the answer

Question 20

How do you find the y value in holes in asymptotes?

Answer 20

Simplify the equation and plug in the x value

Question 21

When do slant asymptotes occur?

Answer 21

When the largest exponent in the numerator is 1 greater than the largest exponent in the denominator

Question 22

how do you find the slant asymptote?

Answer 22

Divide and ignore the remainder

Question 23

What is the area of a trapezoid?

Answer 23

1/2 (a + b)H

Question 24

What is the area of a parallelogram?

Answer 24

Base X Perpendicular Height

Question 25

What are the 2 ways of finding the area of a rhombus?

Answer 25

1. Base X Perpendicular Height 2. 1/2 diagonal 1 * diagonal 2

Question 26

What is the volume of a pyramid?

Answer 26

1/3 area of base X height

Question 27

What is an even function?

Answer 27

f(-x) = f(x) - When it is symmetric across the y axis

Question 28

What is an odd function?

Answer 28

f(-x) = -f(x) - reflected across the origin

Question 29

What type of function is sin(x)?

Answer 29

Odd

Question 30

What type of function is csc(x)?

Answer 30

Odd

Question 31

What type of function is tan(x)?

Answer 31

Odd

Question 32

What type of function is cot(x)?

Answer 32

Odd

Question 33

What type of function is cos(x)?

Answer 33

Even

Question 34

What type of function is sec(x) ?

Answer 34

Even

Question 35

What is csc(x)?

Answer 35

1/sin(x) - reciprocal of sin(x)

Question 36

What is sec(x)?

Answer 36

1/cos(x) - reciprocal of cos(x)

Question 37

What is cot(x)?

Answer 37

1/tan(x) - reciprocal of tan(x)

Question 38

How do you get to the next term in geometric sequences?

Answer 38

You multiply by the common ratio (r)

Question 39

How do you find the common ratio in geometric sequences?

Answer 39

By dividing one term by the previous term