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iren [92.7K]
3 years ago
10

Suppose f is the function f(x) = |x - 5| + 5 and f : Z -> Z

Mathematics
1 answer:
svp [43]3 years ago
7 0

Answer:

No, function is not one-to-one

No, function is not onto

Step-by-step explanation:

We are  given that a function

f:Z\rightarrow Z

f(x)=\mid{x-5}\mid +5

If function is one-to-one then different x have different image .

Domain =Z

Codomain=Z

When function is onto then range=Codomain

Substitute x=1

Then ,f(1)=\mid{1-5}\mid+5=4+5=9

When substitute x=9

Then , we get f(9)=\mid {9-5}\mid +5=4+5=9

Image of 1  and 9 are same hence, function is not one-to-one.

Negative elements of Z and Zero  has no preimage.Therefore, function is not onto.

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Use the table below to determine whether f(x) could represent a linear function If it could write f(x) in the form f(x)=mx+b
Elodia [21]

Answer:

  • f(x) = 6x - 5

Step-by-step explanation:

We see f(x) increase is linear and is 6 at each step, so m = 6 and y-intercept is b = -5, from point (0, -5)

<u>So the function is:</u>

  • f(x) = 6x - 5
3 0
2 years ago
A family on a trip budgets $1,000 for meals and gasoline. If the price of a meal for the family is $50 and if gasoline costs $3.
galben [10]

Answer:

They can buy 13meals if they buy 100 gallons of gasoline.

Step-by-step explanation:

3.50 PER gallon so 1 gallon is $3.50

if they buy 100 gallons you have to multiply 3.50 by 100 which gives you 350. you subtract 350 from 1000 so 1000-350 and get 650. now, you divide 650 by 50 because each meal is $50. And you get 13 so there you have it.

3 0
3 years ago
An oil refinery is located on the north bank of a straight river that is 2 km wide. A pipeline is to be constructed from the ref
Deffense [45]
To minimize the cost, we take the straight distance from the refinery to the other side of the river as 2 km. Also, the 7 km will be the distance that has to be traveled by the pipeline in land. The total cost, C, is therefore,
               total cost =   (2 km)($800,000/km) + (7 km)($400,000 /km)
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Thus, the total cost of the pipeline is approximately $4,400,000.00. 
 
4 0
3 years ago
Find the missing side.
schepotkina [342]

Answer:

2 units

Step-by-step explanation:

x= 2×4/4 = 2 units

5 0
2 years ago
What is 22 percent of 50
Lady_Fox [76]
Translate
'what' means unknown or find this or ?
'is' means = or equals
22%
'of' means multiply
50

percent means parts out of 100
x%=x/100 so 22%=22/100

so

what is 22% of 50 means
?=22/100 times 50
?=1100/100
?=11
answer is 11

the hack, is to recognize that 50 is 1/2 of 100, so 22% of 1/2 of 100 is 22/2=11


answe ris 11


5 0
3 years ago
Read 2 more answers
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