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21 Cards in this Set
- Front
- Back
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Independent Quantity |
X Domain |
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Dependent Quantity |
Y Range |
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Relation |
a mapping between a set of inputs and a set of outputs |
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Continuous Graph |
a graph with no breaks in it |
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Domain |
The set of all input values of a relation (x value) |
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Range |
the set of all output values of a relation (y value) |
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Vertical Line Test |
a visual method used to determine whether a relation represented as a graph is a function |
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Discrete Graph |
a graph of isolated points |
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Function |
relation between a given set of elements for which input value there exists exactly one output value (Remember Disney) |
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Function Notation |
is a way to represent equations algebraically that makes it more efficient to recognize the independent and dependent variables |
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exponential functions |
includes functions of the form f(x)=a.b^x, where a and b are real numbers, and b is greater than 0 but is not equal to 1 |
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Linear piece wise functions |
includes functions that have an equation that changes for different parts, or pieces of the domain |
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Increasing function |
when both the independent and dependent variables of a function increase across the entire domain, |
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absolute maximum |
if there is a point on its graph that has a y-coordinate that is greater than the y-coordinates of every other point on the graph |
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Function family |
is a group of functions that share certain characteristics |
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linear absolute value functions |
includes functions of the form f(x)= a|x+b|+c, where a,b, and c are real numbers, and a is not equal to 0. |
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decreasing function |
when the dependent variable of a function decreases as the independent variable increases across the entire domain |
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quadratic functions |
includes functions of the form f(x)=ax^2+bx+c, where a,b and c are real numbers, and a is not equal to 0 |
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Linear functions |
includes functions of the form f(x)=ax+b where a, and b are real numbers, and a is not equal to 0 |
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constant functions |
if the dependent variable of a function does not change or remains constant over the entire domain, |
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absolute minimum |
if there is a point on its graph that has a y-coordinate that is less than the y-coordinates of every other point on the graph |
