Determine whether the relation defines y to be a function of x. {(2, 5), (3, 8),

Question

Determine whether the relation defines y to be a function of x.

{(2, 5), (3, 8), (3, 11), (4, 14)}

Yes, y is a function of x.

No, y is not a function of x.

If it does not define a function, find a value of x that corresponds to more than one value of y. (If a function was defined, enter NONE.)

x =

2. Determine whether the equation defines y to be a function of x.

y = 4x 3

Yes, y is a function of x.

No, y is not a function of x.

If it does not define a function, find a value of x that corresponds to more than one value of y. (If a function was defined, enter NONE.)

x =

3. Determine whether the relation definesy to be a function of x.

y = |x| Yes, y is a function of x.

No, y is not a function of x.

If it does not define a function, find a value of x that corresponds to more than one value of y. (If a function was defined, enter NONE.)
x =

4. Find g(2) and g(3).

g(x) = x^2 2

g(2)=

g(3)=

Explanation / Answer

I am solving the first problem for you.

{(2, 5), (3, 8), (3, 11), (4, 14)} is not a function because we have two ordered pairs which have same x-value. It means, -3 corresponds to both 8 and 11. Hence y is not a function of x.

and corersponding value of x is, x= -3.

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