Question

Given the table below, determine whether y is a function of x and if the function is one-to-one. \begin{array}{|c|c|} \hline x & y \\ \hline 2 & 9 \\ 0 & 0 \\ 6 & -3 \\ 1 & -5 \\ 7 & 12 \\ \hline \end{array} Select the correct answer below: $\bigcirc$ y is not a function of x. $\bigcirc$ y is a function of x, and the function is one-to-one. $\bigcirc$ y is a function of x, but the function is not one-to-one.

          Given the table below, determine whether y is a function of x and if the function is one-to-one.
\begin{array}{|c|c|}
\hline
x & y \\
\hline
2 & 9 \\
0 & 0 \\
6 & -3 \\
1 & -5 \\
7 & 12 \\
\hline
\end{array}
Select the correct answer below:
$\bigcirc$ y is not a function of x.
$\bigcirc$ y is a function of x, and the function is one-to-one.
$\bigcirc$ y is a function of x, but the function is not one-to-one.
        
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Given the table below, determine whether y is a function of x and if the function is one-to-one.

    x     y 
    
    2     9 
    
    0     0 
    
    6     -3 
    
    1     -5 
    
    7     12

Select the correct answer below:
◯ y is not a function of x.
◯ y is a function of x, and the function is one-to-one.
◯ y is a function of x, but the function is not one-to-one.

Added by Michael T.

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Precalculus with Limits
Precalculus with Limits
Ron Larson 2nd Edition
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Given the table below, determine whether y is a function of x and if the function is one-to-one. Select the correct answer below: y is not a function of x. y is a function of x, and the function is one-to-one. y is a function of x, but the function is not one-to-one. Given the table below,determine whether u is a function of c and if the function is one-to-one y 9 2 0 0 6 3 1 5 7 12 Select the correct answer below: O y is not a function of . y is a function of , and the function is one-to-one. O y is a function of , but the function is not one-to-one.
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Transcript

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00:01 Okay, we need to look at the following table.
00:04 If we had a table where we have the x value and a y value, and it's 2, 5, 4 and 12, 9, and 6, negative 2, negative 4, negative 3, and 8.
00:34 And it's asking us whether or not it's a function.
00:37 And if it's a function, is it a 1 -to -1 function? well, we know it's a relationship.
00:44 Now to find out whether or not it's a function, we need to find out if we have a constant rate of change.
00:50 So we're going to take two points on here and figure out what our rate of change is.
00:54 Now remember, our rate of change is the same thing as our slope where we have y2 minus y1 over x2 minus x1.
01:03 So if i take two points and i'm going to take this one as my point two.
01:14 This one is my point one.
01:17 So i'm going to take and do 12 minus 5 over 4 minus 2.
01:26 And i'm going to get a slope that's 7 over 2...
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