ANSWER
EXPLANATION
First equation:
Second equation:
Let us equate the two equations and solve for x.
This implies that;
Group similar terms to obtain:
Simplify:
Divide both sides by 3
Put x=-2 into any of the equations.
I will put x=-2 into the first equation:
This implies that,
Answer:
Yes, each x-value has a unique y-value.
Step-by-step explanation:
This is a function because each x-value has its own y-value. If this is not the case then it is not a function, because then, two points with the same x-value and different y-values would fail the VLT.
Your graph does not have overlaps and each x-value has a unique y-value
VLT
The vertical line test (VLT) is a <u>simple method that mathematicians made because</u><u> they were lazy</u><u> to make a table of values and find duplicates. </u>
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A quick way to check if it is a function is by looking for duplicates of x-values and check that the duplicates have the same y-value.
-Chetan K
Images/Examples
