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Apex Algebra Unit 4: Solving Problems with Functions

Terms in this set (25)

variable expression
a collection of numbers, variables, and operations,
solution of an equation
when the variable in a single-variable equation is replaced by a number and the resulting statement is true, p24; in two variables x and y is an ordered pair (x,y) that makes the equation true,
function
a rule that establishes a relationship between two quantities,
linear equation
the variable is raised to the first power and does not occur in a denominator, inside a square root symbol, or inside absolute value symbols,
coordinate plane
formed by two real number lines that intersect at a right angle,
ordered pair
each point in the plane corresponds to an _____ _____ of real numbers,
x-coordinate
the first number in an ordered pair,
y-coordinate
the second number in an ordered pair,
graph
the point in the plane that corresponds to an ordered pair (x,y),
scatter plot
one way to analyze the relationships between two quantities is to graph the pairs of data on a coordinate axis,
graph of a linear equation
in x and y is the set of all points (x,y) that are solutions of the equation,
line
graph of a linear equation,
x-intercept
x-coordinate of a point where a graph crosses the x-axis,
y-intercept
y-coordinate of a point where a graph crosses the y-axis,
slope
m of a non-vertical line is the number of units the line rises or falls for each unit of horizontal change from left to right,
rate of change
compares two different quantities that are changing,
velocity
the rate at which distance is changing with time,
constant of variation
two variables x and y vary directly if there is a nonzero number k such is true that the number k is the _______ _______,
direct variation
two quantities that vary directly are said to have ______ _______,
slope intercept form
the linear equation y=mx+b is written in _____ _____,
m
the slope of the line,
b
the y-intercept,
parallel
two different lines in the same plane that have the same slope,
function notation
in general, the symbol f(x) replaces y and is read as "the value of f at x" or simply as "f of x" which does not mean f times x where f is called _______ ________,
graph of a function
since function notation allows you to write f(x) in place of y, the ______ ___ __ _______ f is the set of all points (x, f(x)), where x is in the domain of the function,
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