Chapter two lesson 1
Termini in questo insieme (20)
Domain
the x-value
Range
the y-value
Relation
any set of ordered pairs (x,y)
Function
The x-value cannot repeat, although the y-value can.
Independent Variable
x; it can be assigned any value form the domain
Dependent Variable
y; it depends on the x-value
Function Notation
notation used to "name" a function so one can refer to easier
f(x) represents?
y
Zeros of a Function
where the graph crosses the x-axis. f(x)=0
y-intercept
where the graph crosses the y-axis
how many x-intercepts can there be?
there can be \(\infty\) x-intercepts
Piecewise Function
a function that is defined by two (or more) equations over a specific domain
Relative Maxima
the highest y-values points on the function
Relative Minima
the lowest y-value points on the function
Increasing
the function is rises from left to right
Decreasing
the function is falls from left to right
Constant
the function does not change from left to right
How do you write increase, decrease, and constant?
interval notations. you are following it from left to right, so you are using the domain. Only use parentheses.
Even Function
If you split the graph with the y-axis, it looks the same on both the left and right side
Odd Function
If you rotate the graph 180 degrees, it looks like the same original graph