Sequences, functions and graphs Flashcards
1
Q
What is the term-to-term rule of 17,14,11,8…
A
Subtract 3
2
Q
Un
A
a+(n-1)d
3
Q
Sn
A
(n/2)(2a+(n-1)d)
4
Q
Domain
A
Set of all inputs
5
Q
Range
A
Set of all outputs
6
Q
What is a function?
A
A mapping between elements of two sets
7
Q
What is a one-to-one mapping?
A
Where every input has a unique output and every output has a unique input
8
Q
What is a many-to-one mapping?
A
Where more than one input gives the same output
9
Q
What is a one-to-many mapping?
A
Where one input gives more than one output
10
Q
Find the inverse of (3x-1)/(2x+5)
A
x=(3y-1)/(2y+5)
2yx+5x=3y-1
2yx-3y=-1-5x
y(2x-3)=-1-5x
y=(-1-5x)/(2x-3)
fI(x)=(1+5x)/(3-2x)
11
Q
Gradient
A
dy/dx
12
Q
Length of a line
A
root((x2-x1)2+(y2-y1)2)
13
Q
Midpoint of a line
A
((x1+x2)/2,(y1+y2)/2)
14
Q
y=f(x)+a
A
Up/down
15
Q
y=f(ax)
A
Gradient