Stepp's Algebra A Glencoe Chapter 6 Functions and Graphs
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| An inverse variation is described by an equation of the form xy=__ | k
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| k is called the ___ | constant of variation
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| A direct variation is a linear function that can be written in the form __ | y = kx,
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| the graph of a direct variation function passes through the___ | origin
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| 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
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| A function is a relation in which each element of the domain is paired with exactly one element of the ___ | range
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| In function notation, f(x) is read __ | f of x
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| How would you write “the value of the function f, when x is three? ___ | f (3)
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| Which can not be repeated if the relation is a function – the domain or the range? ___ | domain
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| How would you find f(7)? ___ | substitute 7 for x in the equation for the function f
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| If a vertical line touches the graph of an equation more than once then ____ | it is not a function
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| When both variables behave the same way (both increase or both decrease) it is ___ variation | direct
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| When the variables have opposite behavior (one goes up as the other goes down), it is ___ variation | inverse
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| A __ is a set of ordered pairs | relation
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| Linear relations have graphs that form ____ | straight lines
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| If an equation has a variable with a power greater than one, it is ___ | not linear
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| If an equation has a variable in the denominator, it is ___ | not linear
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| If an equation has variables multiplied or divided by each other, it is __ | not linear
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| A linear equation can be written in the form ___ | Ax + By = C
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| To graph a linear equation, make a ___ of ordered pairs that are solutions. | table (t-chart)
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| Write the equation y = 2x+ 8 in the standard form Ax + By= C, first __ | subtract 2x from both sides
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| When an equation is in standard form, what is left on the left side of the equals sign? | x and y
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| An equation in two variables has solutions that are ___ in the form (x, y). | ordered pairs
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| The easiest form of an equation to use for graphing is found by ___ | solving for y
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| The set of all ___ values is called the domain. | x
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| The set of all ___ values is called the range. | y
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| The (domain/range) values are the outputs. | range
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| The (domain/range) values are the inputs. | domain
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| If you get a true statement when an ordered pair is substituted into an equation, then the pair is a ___. | solution
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| Which of the ordered pair (3, 5) or (-1, 1) is a solution of y = 2x - 1? | (3,5)
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| The domain of (-2,3),(0,4),(1,5) is ____ | -2,0,1
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| The second coordinate in an ordered pair is called the ___ | y-coordinate
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| Functions never have more than one___ for any ___ | output, input
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| Functions can have more than one ___ for a(n) ___ | input, output
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| If it is a function, __ values can't be repeated | x
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| Inverse also means ____ | opposite
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| x is used for the ___ variable | independent
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| y is used for the ___ variable | dependent
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| f(x) is the same thing as ___ | y
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| For an equation in standard form, "B" is the ___ | y coefficient (number in front of y)
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| To find the range when you already have the domain ____ | substitute each x value into the equation
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