SOLUTION: Please help me solve this question. Which of the following relations is (are) functions?
a. {(x,y)| y^2=2x+1}
b. {(x,y)| y=2x^2+1}
c. {(2,3), (3,3), (4,3)}
Algebra.Com
Question 145375: Please help me solve this question. Which of the following relations is (are) functions?
a. {(x,y)| y^2=2x+1}
b. {(x,y)| y=2x^2+1}
c. {(2,3), (3,3), (4,3)}
Found 2 solutions by solver91311, stanbon:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
For each of the given functions, ask "Can I find a value of the independent variable, x in this case, that maps to more than 1 value of the dependent variable, y?" If you cannot, then you have a function. But if any value of x yields more than 1 possible value for y, then you do not have a function.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Please help me solve this question. Which of the following relations is (are) functions?
a. {(x,y)| y^2=2x+1}
Solve for "x" : x = (y^2-1)/2
This is a parabola opening to the right.
It is not a function.
Notice that when x = 0, y^2 = 1, so y could be +1 or it could be -1.
---------------------------
b. {(x,y)| y=2x^2+1}
This is a prabola opeing up and is a function.
--------------------
c. {(2,3), (3,3), (4,3)}
Each different x value has a unique y-value paired with it.
It is a function.
================
Cheers,
Stan H.
RELATED QUESTIONS
Which of the following relations are functions?
y = x + 2
x = y + 2
x + y =... (answered by Fombitz)
If x and y are integers, which of the following is equivalent to... (answered by Alan3354)
Please help me answer and give some explanations as to how to solve this following... (answered by MathLover1)
I don't think this is the subject but I couldn't find relations and functions.
My... (answered by oscargut)
Determine whether or not each of the following relations represents y as a function of x. (answered by josgarithmetic)
2. Write each of the following quadratic functions in the form y=ax^2 + bx + c.
a) y= (answered by htmentor)
Please help me solve this:
Which of the following relations is a function / are... (answered by math_helper)
Dear tutor,
May you help me solve this question
Find dy/dx for each of the... (answered by Alan3354)
can someone please help me with this problem:
Which of the following is a line... (answered by stanbon)