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