All categories

3 years ago

Is the following relation a function? X Y 6 -1 -1 2 4 3 0 3

2 answers:

german3 years ago

5 0

Answer: Given relation is a function

A relation is said to be a function if no value in its domain is paired up with more than one value in its range.

Since x values represent the Domain of a relation and y values represent the Range of a relation, in terms of x and y we can say:

A relation is said to be a function if an x-value is not paired up with more than one y-value.

From the above table we can see that all the x values are distinct, so no x value is paired with more than one y-value and thus given relation is a function.

PIT_PIT [208]3 years ago

4 0

Note that the input values {6, -1, 4, 0} are unique (all different). So, yes, this relation is a function. If the input values were {6, -1, 4, -1, 0}, then no, that would not represent a function because the input values were not unique.

You might be interested in

The quantity of soap produced in 2009 is 3000bars. if this is a 20% increase of what was produced in 2008.what is the quantity o

mr Goodwill [35]

2,400
20% of 3,000= 600
3,000 - 600= 2,400

6 0

3 years ago

last summer, at camp okey-fun-okey, the ratio of the number of boy campers to girl campers was 8:7. If there were a total of 195

Evgen [1.6K]

The ration of boy campers to total campers is 8:15, and the ratio of girl campers to total campers is 7:15. Using this information, we can answer this question by setting up proportions.

For boys:

$\frac{8}{15} =\frac{x}{195}$

*Cross multiply*

15x=1560

*Divide both sides by 15*

x=104

There are 169 boy campers.

For girls:

$\frac{7}{15} =\frac{x}{195}$

*Cross multiply*

15x=1365

91=x

There are 91 girl campers.

Hope this helps!!

7 0

3 years ago

Read 2 more answers

An amount of 41,000 is borrowed for 15 years at 8.5% interest, compounded annually. If the loan is paid in full at the end of th

bazaltina [42]

Answer: $139390 must be paid back.

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1 + r/n)^nt

Where

A = amount to be played back at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount borrowed.

From the information given,

P = 41000

r = 8.5% = 8.5/100 = 0.085

n = 1 because it was compounded once in a year.

t = 15 years

Therefore,

A = 41000(1 + 0.085/1)^1 × 15

A = 41000(1 + 0.085)^15

A = 41000(1.085)^15

A = $139390

3 0

3 years ago

Read 2 more answers

Plssss help its homework plssssss

Trava [24]

Answer:

y=x+5

Step-by-step explanation:

if y is the total cost then the equation y = x +5 where x is the miles driven and $5 is the initial cost would accurately represent the cost of your cab ride.

6 0

2 years ago

A club surveyed its members to decide on food for an event. Out of 125 members surveyed, 89 preferred pizza, 23 of those preferr

RSB [31]

Answer:

$\begin{array}{cccc}&\text{Prefer Pizza}&\text{Do not Prefer Pizza}&\text{Total}\\\text{Prefer Punch}&23&29&52\\\text{Do not Prefer Punch}&66&7&73\\\text{Total}&89&36&125\end{array}$

Step-by-step explanation:

There are 125 members.

89 of them preferred pizza and 23 of 89 preferred punch, so 89-23=66 preferred only pizza.

52 members preferred punch, 23 of them preferred both pizza and punch, so 52-23=29 preferred only punch.

Now,

66 members preferred only pizza,

23 members preferred both,

29 members preferred only punch,

125-66-23-29=7 members did not prefer both

The two-way table is

$\begin{array}{cccc}&\text{Prefer Pizza}&\text{Do not Prefer Pizza}&\text{Total}\\\text{Prefer Punch}&23&29&52\\\text{Do not Prefer Punch}&66&7&73\\\text{Total}&89&36&125\end{array}$

4 0

3 years ago