Math V2

Question 1

How do you break up I x + 1 I > y?

Answer 1

1. x + 1 > y
2. x + 1 < -y

Question 2

What is the determinant of a 2 by 2 matrix?

Answer 2

ad-bc

Question 3

How do you do matrix multiplication?

Answer 3

Left row by right column

Question 4

Standard Deviation

Question 5

What is the arithmetic sum?

Answer 5

Question 6

What is the pythagorean identity?

Answer 6

sin(x) + cos(x) = 1

Question 7

What is cosecant (csc)?

Answer 7

1/sin(x)

Question 8

What is secant (sec)?

Answer 8

1/cos(x)

Question 9

What is cotangent (cot)?

Answer 9

1/tan(x)

Question 10

What is sin(x)/cos(x)?

Answer 10

tan(x)

Question 11

What is cos(x)/sin(x)?

Answer 11

cot(x)

Question 12

What are the 3 horizontal asymptote rules

Answer 12

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 13

When does a vertical asymptote occur?

Answer 13

When ONLY the denominator equals 0

Question 14

When do holes occur (asymptotes)

Answer 14

When both the denominator and the numerator equal 0

Question 15

When do x intercepts occur in asymptotes?

Answer 15

When only the numerator equals 0

Question 16

What is an even function?

Answer 16

f(-x) = f(x) — symmetric across the y-axis

Question 17

What is an odd function

Answer 17

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

Question 18

Give 4 examples of odd functions

Answer 18

1. sin(x)
2. csc(x)
3. tan(x)
4. cot(x)

Question 19

Give 2 examples of even functions

Answer 19

1. cos(x)
2. sec(x)

Question 20

What is the standard form of a quadratic equation?

Answer 20

y = ax^2 + bx + c

Question 21

How do you find the vertex from the standard quadratic form?

Answer 21

• To find the x-coordinate of the vertex: x=-b/2a
• To find the y-coordinate of the vertex: plug the x-coordinate back in

Question 22

What is the factored/intercept form of a quadratic equation?

Answer 22

y = a(x - m)(x - n)

Question 23

How do you find the vertex from the factored form?

Answer 23

• The vertex is halfway between the 2 x-intercepts
• average the x intercepts to find the x
• plug the x back into to find the y

Question 24

What is the vertex form of a quadratic equation?

Answer 24

y = a(x - h)^2 + k

Question 25

How do you find the vertex from the vertex form?

Answer 25

• h,k (be careful, as there is a - before the h in the form)

Question 26

How do you find the vertex from the vertex form?

Answer 26

• h,k (be careful, as there is a - before the h in the form)