The table shows the input and output of a function Table(input:3,4,6,11. Output:5,7,11,21) (a) Explain what makes this set of da
ta a function. (B) what could cause this set of data to not be a function? Provide a specific example to support your statement and explain throughly. (c) write an equation, in function nation, that would fit in the inputs and outputs in the table. Show your work that proves your equation is true for the given data. PLEASE HELP ITS DUE TODAY!!!
1 answer:
Ans(a):
We know that a function can't have repeated x-values.
In given table we see that there i no repeating x-value. That's why the given table represents function.
Ans(b):
We know that a function can't have repeated x-values.
So if in given table we see any repeating x-value then that may cause the given data set to not be a function.
like if we have 3, 4, 3, 11 in the input then it will not be a function.
Ans(c):
we can use two points say (3,5) and (4,7) to find the linear equation of the form y=mx+b
slope is given by
Noow plug value of m=2 and any point say (3,5) into y=mx+b
5=2(3)+b
5=6+b
-1=b
now plug m=2 and b=-1 in y=mx+b, we get y=2x-1
Hence required equation in function notation can be written as
f(x)=2x-1.
Now to prove that above function is correct, we just graph the given points from table and the obtained function.
We see that points lie on the grpah of f(x)=2x-1.
Which proves that our equation is correct.
You might be interested in
Hello! Although I can't give you the answers automatically. I'll just show you some steps on how to subtract & if you're still not figuring it out just message me! :)
Step 1: You have to make sure both denominators are both exactly the same or you won't get the answer correctly.
Step 2: Then subtract the numerators
Step 3: Simplify if needed.
Ex; If I have 1/2 of the pizza and my friend has 1/6 of the pizza. What will be my result if I subtract the fractions?
We'll have to take 1/2 and 1/6. You'll have to find what makes those numbers, what I mean is by multiplying both numerators and denominators.
You multiply by 3.
2 x 3 = 6
Then you'll change the denominator into 1/2 = 1/6
Result:
Then you just subtract.
3 - 1 = 2
Hint: Denominator never changes when you have your final result. So it's 2/6. It needs to be simplified.
We divide by 2.
I hope this example helped you understand how to subtract fractions & if you don't know how to add mixed fractions you can always do around the world or other examples your teacher can provide! :)
Step 1: You have to make sure both denominators are both exactly the same or you won't get the answer correctly.
Step 2: Then subtract the numerators
Step 3: Simplify if needed.
Ex; If I have 1/2 of the pizza and my friend has 1/6 of the pizza. What will be my result if I subtract the fractions?
We'll have to take 1/2 and 1/6. You'll have to find what makes those numbers, what I mean is by multiplying both numerators and denominators.
You multiply by 3.
2 x 3 = 6
Then you'll change the denominator into 1/2 = 1/6
Result:
Then you just subtract.
3 - 1 = 2
Hint: Denominator never changes when you have your final result. So it's 2/6. It needs to be simplified.
We divide by 2.
I hope this example helped you understand how to subtract fractions & if you don't know how to add mixed fractions you can always do around the world or other examples your teacher can provide! :)