For a relationship to be considered a function, each input value must correspond to exactly one output value. This means that each input cannot have multiple outputs.
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A function is considered linear if it follows the rule of proportionality, meaning that the relationship between the input and output values is constant and can be represented by a straight line on a graph.
A line must pass the vertical line test to be considered a function. This means that a vertical line drawn through any point on the line will only intersect the line at one point, indicating that each input has only one output.
For a territory to be considered a state, it must have defined borders, a permanent population, a government, and the ability to enter into relations with other states.
A deductive argument is considered valid when the conclusion logically follows from the premises. This means that if the premises are true, the conclusion must also be true.
To be considered for the President's Award for Academic Excellence and Achievement, a student must meet specific criteria such as maintaining a high GPA, demonstrating exceptional academic performance, and showing leadership qualities in school and community activities.