Memory Test

Question 0

Distance between points (x1,y1) and (x2,y2)

Answer 0

d= sq. root of (x1-x2)^2+(y1,y2)^2

Question 1

Slopes of Perpendicular Lines

Answer 1

mN=-1/mL

Question 2

Transformations of a Function

Answer 2

In relation to f(x)

f(x-h) shifts right h units
f(x)+k shifts up k units
f(bx) shrinks horizontally by a factor of b
af(x) stretches vertically by a factor of a

Question 3

Odd and Even Functions

Answer 3

Even: f(-x)=f(x) symmetric w.r.t. y-axis

Odd: f(-x)=-f(x) symmetric w.r.t. Origin

Question 4

Double Angle Identities

Answer 4

cos2A=2cos^2A-1

      = 1-2sin^2A
      = cos^2A-sin^2A
      = sin2A=2sinAcosA

Question 5

Inverse of A Function

Answer 5

f(g(a))=g(f(a))=a

roles of x and y interchanged; g and f both one to one functions

Question 6

Equation of circle with: center at (0,0) and radius r

center and (h,k) and radius r

Answer 6

x^2+y^2=r^2

(X-h)^2+(y-k)^2=r^2

Question 7

Definition of Logarithm

Answer 7

logba=c iff b^c=a

Question 8

Logarithm Operation properties

Answer 8

logb(m•n)=logbm+logbn

logb(m/n)=logbm-logbn

logba^n=nlogba

Question 9

Logarithm inverse properties

Answer 9

Logbb^n=n

l^logbn=n

Question 10

Quotient Identities

Answer 10

tan(x)= sin(x)/cos(x)

Cot(x)=cos(x)/sin(x)

Question 11

Sum and Difference Identities

Answer 11

SinA+-B=sinAcosB+-sinBcosA

CosA+-B=cosAcosB+-sinASinB

Question 12

Zero, Negative, Fractional Exponents

Answer 12

A^o=1

A^-n= 1/a^n

A^m/n=n sq root of a^m

Question 13

Logarithms Base Change Property

Answer 13

logcA=logbA/logbC

Question 14

Reciprocal Identities

Answer 14

Csc(x)=1/sin(x)

Sec(x)= 1/cos(x)

cot(x) 1/tan(x)

Question 15

Pythagorean Identities

Answer 15

Sin^2•A+cos^2A=1

Tan^2•A+11=sec^2•A

1+cot^2A=csc^2•A

Question 16

Domain

Answer 16

The set of all first coordinates of the ordered pairs in a relation. (The set of values that can be substituted for the independent variable

Question 17

Zero of a Function

Answer 17

A zero of function f is any value r for which f(r)=0

Question 18

Quadratic Formula

Answer 18

X= -b•sq root of b^2-4ac/2a

Question 19

Properties of Exponents Divison

Answer 19

A^m/A^n=a^m-n

(A/B)^n= a^n/b^n

Question 20

Range

Answer 20

The set of all the second coordinates of the ordered pairs in a relation. (The set of values that can be substituted for the dependent variable)

Question 21

Function

Answer 21

A set of ordered pairs in which each first coordinate has exactly one second coordinate (vertical line test)

Question 22

Properties of Exponents Multiplication

Answer 22

A^m•a^n=a^m+n

A^m^n=a^m•n

(Ab)^n=a^n•b^n

Question 23

One to one function

Answer 23

A function in which each second coordinate is matched with exactly one second coordinate