SOLUTION: How come and forgive me for saying, Why are there not andy function solutions? I have looked all over the place..I was looking for. Here is the Poblem: 1. Find the equation of t

Question 174633: How come and forgive me for saying, Why are there not andy function solutions? I have looked all over the place..I was looking for. Here is the Poblem:
1. Find the equation of the secant line containing (1,f(1)) and (2,f(2)).
problem : f(x)=x^3+x
2. Find the value for the function
Problem: Find -f(x) when f(x) = -3x^2+3x-3
3. Determine whether the relation represents a function. If it is a function, state the Domain and Range.
Problem: {(-2,-1), (-1,-4), (0,-5),(1,-4),(3,4)}
My answer to this question is A. Domain is {-1,-4,-5,4} Range; {-2,-1,0,1,3} is that correct for this problem or is it not a function?
4. Find the Domain of the Function: g(x)= X / (x^2-36) ( X over x sqr minus 36)
I can not seem to find these and I need the help....

Answer by nycsub_teacher(90) (Show Source): You can put this solution on YOUR website!
I have already answered question 3 but here it is again:
Look at a point more closely.
Here is the general point: (x,y)
x = domain
y = range
If any of the x points repeat, then there is no function.
Here is your function:
{(-2,-1),(-1,-4),(0,-5),(1,-4),(3,4)}
Look at the x points and they are:
-2, -1, 0, 1 and 3
Do any of the integers repeat?
No, right?
So, this is a funtion.
The answer is (b).
NOTE: Notice that the range has two -4. You only need to list one of them for the range when numbers repeat. It does not matter if the y values repeat.
The x values cannot repeat because it would take x to two different destinations.
Understand?

RELATED QUESTIONS
How come and forgive me for saying, Why are there not andy function solutions? I have... (answered by Mathtut)

I am trying to graph a quadratic equation....everything was going fine until I tried to... (answered by checkley71,solver91311)

I hope this is in the right section, please forgive me if it isn't! My directions... (answered by jim_thompson5910)

x^2 +3x-40 over x^2+2x-35 divided by x^2 +2x-48 over x^2+3x-18 I reached the correct... (answered by vleith)

Have not had algebra since age 15, now 45. I am taking a human biology course, and it... (answered by ptaylor)

ok so im studying and i haven't been in school for about three months and there are a lot (answered by stanbon)

{{{2x > x + 10 > -x}}} I have looked all over the internet for the answer to 'how'... (answered by longjonsilver)

The following function gives the height, (h) meters, of a batted baseball as a function... (answered by scott8148)

Hi, I have to find all real solutions of the following: {{{3x^5 + 7x^3 - 3x^2 + 2}}} (answered by Fombitz)