Ch 4 Sec 3 Relations, Functions and Graphs

D = {3, 1, 4, 0}, R = {5, 2, 4, 3}

D = {3, 1, 4, 0}, R = {5, 2, 3}

D = {1, 2, 3, 4}, R = {5, 4, 3}

D = {3, 1, 0}, R = {5, 2, 4, 3}

D = {0, 1, 2, 3} and R = {1, 3, 5}

D = {0, 1, 2} and R = {1, 3}

D = {1, 2, 3} and R = {0, 5}

D = {0, 2, 3} and R = {1, 5}

1

3

5

0

A relation where each input has a unique output

A relation that can have multiple outputs for a single input

A relation that pairs every input with every output

A relation that does not have any inputs

Yes

No

Sometimes

Not enough information

Yes

No

It depends on the context

Not enough information

It determines if a graph is a function by checking if a vertical line intersects it at more than one point.

It is used to find the slope of a function.

It helps in identifying the domain of a function.

It is a method to calculate the area under a curve.

Graph a

Graph b

Graph c

All of the above

The relation represents y as a function of x

The relation does not represent y as a function of x

The relation is undefined

The relation is a linear function

Domain: All real numbers, Range: All real numbers

Domain: x > 0, Range: y > 0

Domain: x < 0, Range: y < 0

Domain: All integers, Range: All integers

{–3, –1, 0, 2, 4}

{0, 2, 4, –1}

{–3, 0, 2}

{–1, 0, 4}

s > 0

A > 0

s < 0

A < 0