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?
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