Inverse Functions
What does an inverse function do?
It undoes whatever the original function did!
What is the value of sin(0°)?
0
State the product property of logarithms.
logb X + logb Y = logb XY
What is random sampling?
Sampling where every member of the population has an equally likely chance of being selected.
What is the domain of a function?
The set of input values.
What is the convention for labeling the vertices and sides of a triangle?
Upper case letters for vertices and the same letters, but lower case, for the sides opposite the vertices.
Explain how the domain and range of a function and its inverse are related.
The domain of the function is the range of its inverse and vice versa.
What is the value of cos(60°)?
0.5
What is the logarithmic form of the equation 112 = 121?
log11121 = 2
What is self-selected sampling?
Sampling which consists of people who have volunteered to take part.
What is the definition of a quadratic function?
A function of the type
f(x) = ax² + bx + c, a ne0
What does the Sine Rule say?
In a given triangle, the ratio of the length of any of its sides to the sine of the opposite angle remains constant.
What is the relationship between a function and its inverse regarding their graphs?
They are reflections of each other in the line y=x.
What is the value of cos 240o?
-0.5
Use the properties of logarithms to simplify 3logb(x) -logb(5).
logb (x³)/5
What is systematic sampling?
All the population members are put in a list and then every nth member is chosen from the list.
What are the x-intercepts of the function f(x) = x2 - x -12?
x = -3, x = 4
What is the formula for the cosine rule?
a^2 = b^2 + c^2 - 2bc Cos A
What general type of function has an inverse that is also a function?
A one-to-one function.
What is the value of sin(135°)?
sqrt 2/2
If log2x = -0.5 , what is the value of x?
1/sqrt2
What is cluster sampling?
The population is divided into distinct groups. Then a number of these whole groups are chosen randomly.
Describe four features of the graph of
f(x)=2(x-6)^2+1
Various answers possible!
What are the two different formulas used for calculating the area of a triangle?
Area = (base * height)/2
Area = 1/2(a*b sin C)
What is the inverse of f(x) = 3x2 - 5, x>0?
f^(⁻1)(x)=sqrt((x+5)/3),x > -5
What is the value of tan 90o?
Undefined.
log(x² - 6) = 1
x = 4 or -4
What is stratified sampling?
Choosing a sample to ensure proportional representation of some important characteristic e.g gender.
What is an asymptote?
An imaginary line (or curve) that the graph of a function approaches but never actually reaches.
Joker!