Question 1

Which of the following sets of points represents a function when mapped on a graph?

Accepted Answer

{(1, 2), (2, 3), (3, 4)}

Answer

{(1, 1), (2, 2), (2, 3)}

Answer

{(1, 2), (1, 3), (3, 4)}

Answer

{(2, 2), (2, 3), (3, 3)}

Question 2

Which of the following graphs would fail the vertical line test?

Accepted Answer

A circle

Answer

A straight line

Answer

An exponential curve

Answer

A parabola

Question 3

In a mapping diagram, which scenario does not represent a function?

Accepted Answer

One input assigned to two outputs

Answer

One input assigned to one output

Answer

All inputs and outputs are distinct

Answer

Two inputs assigned to the same output

Question 4

Which mathematical rule helps determine if a graph represents a function?

Accepted Answer

The vertical line test

Answer

The horizontal line test

Answer

The point-slope form

Answer

The quadratic formula

Question 5

Which set of ordered pairs represents a function?

Accepted Answer

{(5, 7), (6, 8), (7, 9), (8, 10)}

Answer

{(2, 3), (2, 4), (3, 5), (4, 6)}

Answer

{(4, 5), (4, 6), (5, 7), (6, 8)}

Answer

{(1, 2), (1, 3), (2, 3), (3, 4)}

Question 6

Which of the following relationships is a function?

Accepted Answer

Each student in a class is assigned one unique locker.

Answer

A car can have multiple drivers assigned.

Answer

Some employees are assigned to multiple projects.

Answer

Each person is associated with multiple phone numbers.

Question 7

Which one of the following graphs is not a function of

x

?

Accepted Answer

A graph of a vertical line

Answer

A graph of a linear line with positive slope

Answer

A graph of a parabola opening upwards

Answer

A graph of a sine wave

Question 8

Which representation fails the vertical line test, indicating it's not a function?

Accepted Answer

A graph of

x

Answer

A graph of

x

Answer

A graph of

x

Answer

A graph of

x

Question 9

Which of the following is an example of a function in a real-world context?

Accepted Answer

A vending machine that dispenses exactly one snack for each button pressed.

Answer

A remote control that can change channels and volume simultaneously.

Answer

A fountain that activates with either a button or a motion sensor.

Answer

A light switch that turns on multiple lights at once.

Question 10

Which statement is true about a function defined by a set of ordered pairs?

Accepted Answer

Each first element (input) of the pair is unique.

Answer

Functions can have the same input multiple times with different outputs.

Answer

Each second element (output) of the pair is unique.

Answer

Inputs can map to multiple outputs.

Question 11

In which type of relation does each x-value have exactly one y-value assigned to it?

Accepted Answer

Function

Answer

Equation

Answer

Graph

Answer

Mapping

Question 12

Which of the following sets of ordered pairs represents a function?

Accepted Answer

{(1, 2), (2, 3), (3, 4), (4, 5)}

Answer

{(2, 3), (2, 4), (2, 5), (3, 6)}

Answer

{(1, 2), (2, 2), (1, 3), (3, 4)}

Answer

{(3, 4), (3, 5), (4, 6), (5, 7)}

Question 13

Which scenario would indicate a graph does not pass the vertical line test?

Accepted Answer

A vertical line intersects the graph at multiple points.

Answer

A vertical line intersects the graph at exactly one point.

Answer

No vertical line can intersect the graph.

Answer

A horizontal line intersects the graph at multiple points.

Question 14

If a graph passes the vertical line test, what can be concluded about the graph?

Accepted Answer

The graph represents a function.

Answer

The graph shows a one-to-one correspondence.

Answer

The graph is symmetric with respect to the y-axis.

Answer

The graph represents an inverse relation.

Question 15

Which of the following mappings represents a function?

Accepted Answer

{(1, 2), (2, 3), (3, 4)}

Answer

{(3, 2), (3, 1), (4, 4)}

Answer

{(2, 3), (3, 3), (4, 5)}

Answer

{(1, 2), (1, 3), (2, 4)}

Question 16

What is a key characteristic of a function in terms of input-output relation?

Accepted Answer

Each input has exactly one output.

Answer

Outputs can have multiple corresponding inputs.

Answer

Each output has exactly one input.

Answer

Inputs and outputs are interchangeable.

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