Explain why a graph that fails the vertical-line test does not represent a function. Be sure to use the definition of function i
2 answers:
Answer:
If vertical-line test fails it means it is giving more than one value of y which does not satisfy the definition of a function.
Step-by-step explanation:
If a mapping is like is said to be a function if for different values of x we get different values of y
So, if a vertical line test fails does not represents a function because from vertical line test we get the values of y
So, if vertical line intersect the graph at more than one point say two points it means vertical test fails because it will give two values of y.
You might be interested in
10 (x + 2) = 5 (x + 8)
First, we can start off by dividing each side by 5. Each side usually meaning, the whole number in front of the parentheses, in simpler words. 10 ÷ 5 = 2 and 5 ÷ 5 = 1, which can be represented as a variable (x).
Second, we can now expand our problem. Basically, remove parentheses. We're focusing on the left side of the problem right now, so to expand 2(x + 2), we could combine 2 and the variable to create 2x, and multiply 2 times 2, which equals 4.
Third, our next step is to subtract 4 from each side. Now all we are trying to do is get the variable to equal something by itself.
Fourth, let's simplify the right side of the problem now. x + 8 - 4, we would start of by subtracting 8 - 4, which equals 4 and leave the variable alone.
Fifth, subtract the variable (x) from each side. You will get the problem to look like: 2x - x = 4. We can now simplify 2x - x, which equals x.
Answer:
First, we can start off by dividing each side by 5. Each side usually meaning, the whole number in front of the parentheses, in simpler words. 10 ÷ 5 = 2 and 5 ÷ 5 = 1, which can be represented as a variable (x).
Second, we can now expand our problem. Basically, remove parentheses. We're focusing on the left side of the problem right now, so to expand 2(x + 2), we could combine 2 and the variable to create 2x, and multiply 2 times 2, which equals 4.
Third, our next step is to subtract 4 from each side. Now all we are trying to do is get the variable to equal something by itself.
Fourth, let's simplify the right side of the problem now. x + 8 - 4, we would start of by subtracting 8 - 4, which equals 4 and leave the variable alone.
Fifth, subtract the variable (x) from each side. You will get the problem to look like: 2x - x = 4. We can now simplify 2x - x, which equals x.
Answer: