Function Identification and Characteristics

Lucen inputs the value 27 into an algebraic relation and receives outputs of 52 and -52. The video explores whether this relation is a function by defining a function as a relation where each input has exactly one unique output. Since Lucen's input results in two different outputs, the relation fails the vertical line test and is not a function.

What outputs does Lucen receive when she inputs the value 27 into the algebraic relation?

• Only 52

• Neither 52 nor -52

• Only -52

• 52 and -52

Which of the following best describes a function?

• A relation where inputs are always negative

• A relation where each input has exactly one output

• A relation where each input has multiple outputs

• A relation where outputs are always positive

Why does the example with input 27 not qualify as a function?

• Because it has no outputs

• Because it has more than one output for a single input

• Because it only has negative outputs

• Because it only has positive outputs

What test can be used to determine if a relation is a function?

• Horizontal line test

• Vertical line test

• Diagonal line test

• Circular line test

If a graph shows one input leading to two different outputs, what can be concluded?

• The relation is a function

• The relation is not a function

• The relation is linear

• The relation is quadratic