Functions & Sequences Flashcards
Domain
The set of all inputs of a function
Range
The set of all outputs a function can generate
Quadratic functions format
ax^2 + bc + c
Function minimum output and max
If a >0 then minimum occurs when
X= -b/2a
If a<0 then maximum occurs when
X= -b/2a
Given a function in the form of
f(x) = kx^n + c
What is the range
If k>0 then it’s all real numbers >= c
If k<0 then it’s all real numbers <= c
Functions must pass the _____ to be considered a function
Vertical line test - any vertical line can only intersect the graph at either one or zero points
Arithmetic sequence
Difference between consecutive numbers is the same
An = a1 + (n-1)d
Where d is the difference between each consecutive
sum of the terms of an arithmetic sequence
Sn = n(A1 + An)
____________
2
Geometric sequence
Ratio of every pair of two consecutive numbers is the same
Repeating sequences
If a pattern in a repeating sequence repeats itself ever r terms, the. The repeating pattern has a length of r
Fuel efficiency
Distance travelled
____________________
Volume fuel consumed
Quart to pint
1 quart = 2 pints
Average rate
Total distance
______________
Total time
How to solve system of inequalities
Make sure signs face same direction
You can add the equations but can’t subtract
Simple interest
Principle x rate x time
