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2. Given the following graph, find the values of x that make this graph not a function.

try
14
E
B
-34
O 0 O-43x<0
O 15x<4
O-4< x≤0

2. Given the following graph, find the values of x that make this graph not a function-example-1

1 Answer

3 votes

The answer is -4<x<=0.The answer is the range of x values for which the inequality -4<x<=0 holds, which is simply **x is between -4 and 0 inclusive**.

A function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. In other words, there cannot be two different outputs for the same input.

To determine whether a graph represents a function, we can use the horizontal line test. If any horizontal line intersects the graph more than once, then the graph does not represent a function.

The graph shown in the image intersects the horizontal line y=-1 more than once, so it does not represent a function. The values of x that make the graph intersect the horizontal line y=-1 more than once are -4<x<=0.

Therefore, the values of x that make the graph not a function are **-4<x<=0**.

User GeorgeQ
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