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Algebra A Ch 6

Stepp's Algebra A Glencoe Chapter 6 Functions and Graphs

An inverse variation is described by an equation of the form xy=__ k
k is called the ___ constant of variation
A direct variation is a linear function that can be written in the form __ y = kx,
the graph of a direct variation function passes through the___ origin
If each vertical line passes through no more than one point of the graph of a relation, then the relation is a function. This is called the ___ vertical line test
A function is a relation in which each element of the domain is paired with exactly one element of the ___ range
In function notation, f(x) is read __ f of x
How would you write “the value of the function f, when x is three? ___ f (3)
Which can not be repeated if the relation is a function – the domain or the range? ___ domain
How would you find f(7)? ___ substitute 7 for x in the equation for the function f
If a vertical line touches the graph of an equation more than once then ____ it is not a function
When both variables behave the same way (both increase or both decrease) it is ___ variation direct
When the variables have opposite behavior (one goes up as the other goes down), it is ___ variation inverse
A __ is a set of ordered pairs relation
Linear relations have graphs that form ____ straight lines
If an equation has a variable with a power greater than one, it is ___ not linear
If an equation has a variable in the denominator, it is ___ not linear
If an equation has variables multiplied or divided by each other, it is __ not linear
A linear equation can be written in the form ___ Ax + By = C
To graph a linear equation, make a ___ of ordered pairs that are solutions. table (t-chart)
Write the equation y = 2x+ 8 in the standard form Ax + By= C, first __ subtract 2x from both sides
When an equation is in standard form, what is left on the left side of the equals sign? x and y
An equation in two variables has solutions that are ___ in the form (x, y). ordered pairs
The easiest form of an equation to use for graphing is found by ___ solving for y
The set of all ___ values is called the domain. x
The set of all ___ values is called the range. y
The (domain/range) values are the outputs. range
The (domain/range) values are the inputs. domain
If you get a true statement when an ordered pair is substituted into an equation, then the pair is a ___. solution
Which of the ordered pair (3, 5) or (-1, 1) is a solution of y = 2x - 1? (3,5)
The domain of (-2,3),(0,4),(1,5) is ____ -2,0,1
The second coordinate in an ordered pair is called the ___ y-coordinate
Functions never have more than one___ for any ___ output, input
Functions can have more than one ___ for a(n) ___ input, output
If it is a function, __ values can't be repeated x
Inverse also means ____ opposite
x is used for the ___ variable independent
y is used for the ___ variable dependent
f(x) is the same thing as ___ y
For an equation in standard form, "B" is the ___ y coefficient (number in front of y)
To find the range when you already have the domain ____ substitute each x value into the equation
Created by: criswell216