PA Chapter 8 Linear Functions
Any set of points.
The set of x-values.
The set of y-values.
Each domain value.
Each range value.
A relation with no repeating x-values such that there is exactly one output for each input.
Lists the inputs and outputs in order drawing arrows from the inputs to their outputs.
Vertical Line Test
A visual test on a graph to determine if the relation is a function. If this line passes through more than one point, then it is not a function.
Vertical Line Equation
x = c
Horizontal Line Equation
y = c
ax + by = c
y = mx + b
(x,0); The point which crosses the x-axis.
(0,y); The point which crosses the y-axis.
A graph that rises from left to right.
A graph that falls from left to right.
Linear Function Graph
A function whose graph is a nonvertical line.
Nonlinear Function Graph
A function whose graph is not a line.
Rise/Run; Difference of the y-coordinates/Difference of the x-coordinates.
An increasing line has this type of slope.
A decreasing line has this type of slope.
A horizontal line has this type of slope.
A vertical line has this type of slope.
Parallel lines have this type of slope.
Opposite Reciprocal Slope
Perpendicular lines have this type of slope.
If a function is in the format y = mx + b, the b is the ___.
Two points are in _____ if they relate to each other as y=kx.
Written as f(x), is read as "f of x", and represents the value of y given a value of x.
Systems of Linear Equations
Two or more linear equations.
A solution of a system is written as a _______ representing where the two lines cross.