Question 1

Which assignment of numbers from the domain to the range cannot be represented by a function?

Accepted Answer

A relation where two different inputs give the same output.

Answer

A set of ordered pairs with no repeating x-values.

Answer

A relation where each input has a unique output.

Answer

A graph that passes the vertical line test.

Question 2

Which assignment of numbers from the domain to the range cannot be represented by a function?

Accepted Answer

A vertical line intersects the graph at more than one point.

Answer

Each input has a unique output.

Answer

A horizontal line intersects the graph at one point.

Answer

A point does not repeat on the graph.

Question 3

What is the primary characteristic that defines a function?

Accepted Answer

Each input must have exactly one output.

Answer

Each output must have exactly one input.

Answer

Each input must have at least one output.

Answer

None of the above.

Answer

Inputs can have multiple outputs.

Question 4

If a function is represented as f(x), what does f(3) represent?

Accepted Answer

The output of the function when the input is 3.

Answer

The input of the function when the output is 3.

Answer

The change in the value of the function.

Answer

The value of the function at x = 0.

Question 5

What does it mean for a function to be continuous?

Accepted Answer

It can be drawn without lifting the pencil off the paper.

Answer

It only has positive outputs.

Answer

It goes through all the integer points.

Answer

It has no breaks, jumps, or holes in its graph.

Answer

It can be represented as a straight line.

Question 6

In the context of functions, what is the domain?

Accepted Answer

The set of all possible input values.

Answer

The set of all possible output values.

Answer

The value of the function at its minimum.

Answer

The value of the function at its maximum.

Question 7

If a function has a domain of {1, 2, 3}, how many outputs can it have at most?

Accepted Answer

Three outputs, one for each input.

Answer

Two outputs maximum.

Answer

Four outputs maximum.

Answer

One output only.

Question 8

What is an example of a non-functional relation?

Accepted Answer

A relation where an input has more than one output.

Answer

A relation with a unique output for each input.

Answer

A set of points that plots as a line.

Answer

A relation where outputs can repeat.

Question 9

In a function, what is the range?

Accepted Answer

The set of all possible output values.

Answer

The minimum value of the function.

Answer

The set of possible input values.

Answer

The maximum value of the function.

Question 10

Which of the following graphs represents a function?

Accepted Answer

A graph passes the vertical line test.

Answer

A graph that is only linear.

Answer

A graph with multiple outputs for one input.

Answer

A graph where all points are straight lines.

Question 11

If the function f(x) = 2x + 3, what is f(4)?

Accepted Answer

11.

Answer

8.

Answer

7.

Answer

6.

Question 12

What cannot be represented by a function?

Accepted Answer

An assignment of multiple outputs for a single input

Answer

An assignment of single outputs for multiple inputs

Answer

An assignment of outputs that do not depend on inputs

Answer

An assignment of a unique output for each input

Question 13

What is a function?

Accepted Answer

A relation where each input has exactly one output

Answer

A relation with no restrictions

Answer

A polynomial expression

Answer

A set of numbers only

Question 14

In a function, what does the domain represent?

Accepted Answer

The set of all possible inputs

Answer

The range of values

Answer

The set of all outputs

Answer

The area under the curve

Question 15

What is the range of a function?

Accepted Answer

The set of all possible outputs

Answer

The minimum value of the function

Answer

The maximum value of the function

Answer

The set of inputs

Question 16

If a relation has the pairs (1, 2), (1, 3), and (2, 4), is it a function?

Accepted Answer

No

Answer

It depends on the context

Answer

Only for the first pair

Answer

Yes

Question 17

Can a vertical line cross a function more than once?

Accepted Answer

No

Answer

It depends on the slope of the line

Answer

Yes

Answer

Only if the function is non-linear

Question 18

What is an example of a function?

Accepted Answer

y = 2x + 3

Answer

y = 3 and y = 4

Answer

y = x^2 + x

Answer

y = x and y = 2

Question 19

What type of relationship does a function describe between elements of its domain and range?

Accepted Answer

A consistent relationship

Answer

A random relationship

Answer

No relationship

Answer

A variable relationship

Question 20

Which of these represents a function?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 21

What does it mean if a function is linear?

Accepted Answer

It can be represented by a straight line on a graph

Answer

It oscillates

Answer

It has a curve

Answer

It has multiple slopes

Question 22

What defines a function in algebra?

Accepted Answer

A relation where each input has exactly one output.

Answer

A relation where each input can have multiple outputs.

Answer

A collection of random numbers.

Answer

A relation that has no inputs at all.

Question 23

Which of the following cannot be represented as a function?

Accepted Answer

A vertical line drawn on a graph.

Answer

A curve that passes the vertical line test.

Answer

A straight line with a slope.

Answer

A horizontal line drawn on a graph.

Question 24

What type of line represents a linear function?

Accepted Answer

A straight line.

Answer

A zigzag line.

Answer

A discontinuous line.

Answer

A curve that changes direction.

Question 25

What does the domain of a function refer to?

Accepted Answer

The set of all possible input values.

Answer

The set of all possible output values.

Answer

The relationship between inputs and outputs.

Answer

The number of dimensions in a graph.

Question 26

If a function is represented as f(x) = 2x + 3, what is the output when x is 1?

Accepted Answer

5

Answer

6

Answer

3

Answer

2

Question 27

In a function, what is the range?

Accepted Answer

The set of all possible output values.

Answer

The slope of the line.

Answer

The set of all possible input values.

Answer

The graph of the function.

Question 28

Which statement is true about the graph of a function?

Accepted Answer

It must pass the vertical line test.

Answer

It must pass the horizontal line test.

Answer

It can have two outputs for one input.

Answer

It must be linear.

Question 29

What is the slope in the equation y = mx + b?

Accepted Answer

Question 30

How can you determine if a relation is a function using a set of ordered pairs?

Accepted Answer

Check if each first element is unique.

Answer

Check if all second elements are different.

Answer

Count the number of pairs.

Answer

Look for repetitions in the second elements.

Question 31

What graphical representation is used to depict a linear function?

Accepted Answer

A straight line on a coordinate plane.

Answer

A bar graph.

Answer

An area under a curve.

Answer

A circle.

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