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Pre Calculus 1.1 - 1.5

Terms

undefined, object
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point slope form
y - y = m (x - x)
slope
number of units the line rises or falls vertically for each unti of horiontal change from left to right
graph of a function
collection of orderd pairs such that x is in the domain of f
x coordinate
represents the directed distance from the yaxis to the point
linear equation in two variables
y =mx + b
linear interpolation
when the estimated point lies between two given points
ordered pair
(x,y) called coordinates of the point
implied domain
the set of all real numbers for which the expression is defined
domain
set of inputs
distance formula
the distance between two points
slope intercept form
y = mx + b
parallel
it their slopes are equal
zeros
of x are the x values for whcih y = 0
relative minimum
point when the graph goes form decreasing to increasing
average rate of change
slope
point plotting method
basic technique used for sketching graphs
increasing
y1 < y2
piecewise function
a function defined by two or more equations over a specified domain
graph of an equation
is the points that are solutions of the equation
function
relation that assigns to each element x in the set A exactly one element in the set B
linear extrapolation
extrapolated point does not lie between the given points
decreasing
y1 > y2
perpendicular
if their slopes are negative reciprocals of each other
y axis
the vertical real number line
vertical line test
a set of points in a coordinate plane is the graph of y as a function of x is and only if no vertical line intersects the graph at more than one point
origin symmetry
(x, y) and (-x, -y)
solution
an ordered pair (a,b) when a is substituted for x and b is substiuted for y
y coordinate
represents the dircted distance from the xaxis to the point
midpoint formula
the midpoint of the line segment joining the points
secant line
line through th two points
quadrants
four parts of the plane
odd
symmetric to x- axis f(-x) = - f(x)
y axis symmetry
(x y) and (-x, y)
range
set of outputs
x axis symmetry
(x,y) and (x, -y)
constant
y1 = y2
intercepts
the points at which the graph intersects or touches the x or y axis
origin
the point of intersection of these two axes
relative maximum
point when the graph goes from increasing to decreasing
x axis
the horizontal real number line
even
symmetric to y-axis f(-x) = f(x)

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