relations
domains and range
functions
combination functions
composite functions
100
This is a set of ordered pairs
What is a relation?
100
For the relation, {(2,3), (4,4), (6,8)}, what is the domain set?
What is {2, 4, 6}
100
This is a relation where every input value (abscissas) produces exactly one output value (ordinates).
What is a function?
100
when f(x) = x + 1 and g(x) = x - 1, this what (f + g)(x) equals.
What is (f + g) (x) = x + 1 + x - 1 = 2x
100
If f(x) = x and g(x) = 3x + 3, this is f(g(x)).
What is f(g(x)) = 3x + 3.
200
The first coordinate of an ordered pair is called this.
What is an abscissas?
200
For the relation {(7,7), (8,10), (6,0) and (7, 0)} what is the range?
What is { 0, 7, 10}
200
True or False: y = 3x + 2 is a function.
What is true.
200
If h(x) = x + 2 and g(x) = 3x - 5, this is (h - g) (x).
What is (h-g)(x) = x + 2 -(3x - 5) = -2x + 7
200
If h(x) = x + 4 and g(x) = x - 4, this is h(g(x)).
What is h(g(x)) = (x - 4) + 4 = x
300
This is what the set of abscissas of a relation is called.
What is the domain?
300
This is the domain of y = 3x + 4
What is x = all real numbers?
300
true or false:the relation {(2,3), (2,4), (5,2), (6,11)} is a function.
What is false.
300
If d(x) = 11x and f(x) = 5x, this is (d•f) (x).
What is (d•f) (x) = (11x) (5x) = 55 x^2.
300
If j(x) = x -2 and k(x) = 3x +1, [j○k](x) equals this.
What is [j○k](x) = (3x +1) -2 = 3x -1
400
This what the second coordinate in an order pair is called.
What is an ordinate?
400
This is the range of y = 6x + 10
What is y = all numbers
400
true or false: y = 12x^2 + x - 3 is a function.
What is true.
400
If f(x) = 4x and g(x) = 2x, this is (f/g) (x).
What is (f/g) (x) = (4x)/(2x) = 2
400
If p(x) = 3x and v(x) = x^2, this is v(p(x)).
What is v(p(x)) = (3x)^2 = 9x^2
500
This is the set of the ordinates of a relation.
What is a range of a relation?
500
This is the domain of f(x) = 6/(x - 8).
What is x = all numbers except 8
500
true or false: y^2 = x + 2 is a function.
What is false
500
If you have fucntion f(x) and g(x) and you have a quotient function f(x)/g(x), this is what g(x) cannot equal.
What is zero?
500
If r(x) = 2x^3 - 2 and g(x) = 2x this is r(g(x)).
What is r(g(x)) = 2(2x)^3 - 2 = 2(8x^3) - 2 = 16x^3 - 2
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