Unit 1: General Functions Flashcards
Function
every input x has exactly one output y
Relation
a set of ordered pairs
ordered pair
a pair of input x and output y
(x , y)
input
independent variable
x-value
output
dependent variable
y value
Evaluate
given an input x what is the output y
P.L.A.Q.E.S Functions
Piecewise, Linear, Absolute Value, Quadratic, Exponential, Square Root Function
How do I Identify a Piecewise Function?
it looks like pieces of functions with different domains
it can have an open point (no solution)
How do I identify a Linear Function?
straight, horizontal or diagonal lines
written in y=mx+b or Ax+By=C form
How do I identify an Absolute Value Function?
the graph looks like the letter V
it has absolute value bars “ |x|”
How do I identify a Quadratic Function?
the graph looks like the letter U
the highest exponent is a 2
How do I identify an Exponential Function?
the variable is an exponent
the graph either increases or decreases quickly
How do I identify a Square Root Function?
the graph looks like a stretched letter r
it always has the square root symbol
variable
A letter or symbol that represents a number that can change
coefficient
a number multiplied to a variable.