Functions

What is a function in mathematics?

• A collection of numbers

• Something that relates one set to another in a particular way

• A mathematical rule or procedure

• A table with input and output values

What are the mathematical terms for the input set and the output set of a function, respectively?

• Input and Output

• Domain and Range

• Variables and Constants

• Arguments and Results

If a function's rule is to "Output the number of sides" and the input is "Hexagon", what would be the output?

• 4

• 5

• 6

• 8

What is a fundamental requirement for something to be considered a mathematical function?

• It must relate multiple inputs to a single output.

• It must produce only one output value for each input value.

• It must always involve numerical inputs and outputs.

• It must be represented by an algebraic equation.

In a function table, what does each row, consisting of an input (x) and an output (y), represent?

• A linear equation

• An ordered pair

• A quadratic function

• A domain value

What is the purpose of the Vertical Line Test when analyzing a graph?

• To determine if the graph is symmetrical.

• To find the slope of the line.

• To check if the graph represents a function.

• To identify the x-intercepts.

Why does the graph of y^2 = x fail the Vertical Line Test and is therefore not considered a function?

• It does not intersect the vertical line at any point.

• It only has negative input values.

• It intersects the vertical line at two or more points for some inputs.

• It intersects the vertical line at exactly one point.

In the function notation f(x) = y, what does 'f' primarily represent?

• A variable being multiplied by x.

• The name of the function.

• The output value.

• The input value.