Graph the relation shown in the table. Is the relation a function? Why or why not?
1 answer:
Answer:
- not a function
- an x-value is repeated
Step-by-step explanation:
A function maps each value of the independent variable to one value of the dependent variable. If an input maps to two or more different outputs, the relation is not a function.
On a graph, two or more different output values for the same input will show up as points vertically aligned with each other. That is, a vertical line will intersect the graph in more than one place. When that happens, we say the graph <em>does not pass the vertical line test, so is not a function.</em>
<em>___</em>
On the graph of these points, we show the vertical line that intersects two of the points of the given relation. The relation fails the vertical line test.
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Answer:
Anna's number could be 5 and it could be 6.
Step-by-step explanation:
Let Anna's number be represented by x.
If Bill squared her number followed by subtracting 11 times her number, and adding 4, then he would get -26.
This implies that:
This is a quadratic equation and we can solve for x by factorization.
=> x = 5 and x = 6
Anna's number could be 5 and it could be 6.