Algebra: Test on Function
How can we tell if something is a one-to-one function?
If the line passes both the vertical line test and the horizontal line test (I)&(-)
How can we tell if something is a function?
If the line passes the vertical line test, two of the same lines on the x-intercept (I)
How can we evaluate functions?
Substitute the input for the function's variable. ex: f (x) = 3x - 5, find f (4)
piece wise function
a function defined by two or more equations
composite functions
a function that is written inside another function. ex. f [g (x)]
relative minimum
a point where the function changes direction from decreasing to increasing (making that point a "bottom" in the graph)
relative maximum
a point where the function changes direction from increasing to decreasing (making that point a "peak" in the graph)
absolute maximum
a point where the function obtains its greatest possible value
absolute minimum
a point where the function obtains its lowest possible value
odd function
f(-x)=-f(x)
even function
f(x)=f(-x)
neither(not a odd or even function)
f(x)≠f(-x) f(-x)≠-f(x)
increasing/decreasing intervals
read from left to right
x-intercepts
where the graph crosses the x-axis
y-intercepts
where the graph crosses the y-axis
domain
x values
range
y values