Understanding Functions in Algebra

What is the primary characteristic of a function in terms of inputs and outputs?

• Each output is the same for all inputs.

• Each output has multiple inputs.

• Each input has a unique output.

• Each input has multiple outputs.

If f(x) = 2x + 1, what is f(3)?

• 7

• 6

• 5

• 8

Which of the following notations is NOT typically used for functions?

• f(x)

• i(x)

• g(x)

• h(x)

In a function map, what indicates that a relation is not a function?

• Unique outputs

• Repeating outputs

• Unique inputs

• Repeating inputs

What is a one-to-one function?

• A function where each input has the same output.

• A function where inputs and outputs are the same.

• A function where each input has a unique output.

• A function where each output has multiple inputs.

When examining a table, what should you look for to determine if it represents a function?

• Repeating inputs

• Unique inputs

• Repeating outputs

• Unique outputs

In a table, which scenario indicates that the relation is not a function?

• Some outputs repeat.

• All outputs are unique.

• Some inputs repeat.

• All inputs are unique.

What does the vertical line test determine?

• If a graph is symmetrical.

• If a graph is a straight line.

• If a graph has repeating outputs.

• If a graph represents a function.

During the vertical line test, what indicates that a graph is not a function?

• The line is parallel to the graph.

• The line touches the graph at one point.

• The line touches the graph at multiple points.

• The line does not touch the graph.

Which of the following is true about the vertical line test?

• It checks for unique x-values.

• It checks for repeating x-values.

• It checks for repeating y-values.

• It checks for unique y-values.