Which of the following does not represent a function?

Mathematics

1 answer:

ELEN [110]3 years ago

6 0

A function should produce one output for one given input.
Therefore a function should pass the vertical line test.

From the figure,
a,b,c pass the vertical line test;
d fails the vertical line test.

Answer: Case d does not represent a function.

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The sequence can be represented by $2 + 4x$ , where $x$ is a whole number( $x \geq 0$ and $x$ is an integer). By this, we should be able to plug in some whole number x and be able to get these values if they are in the sequence. To test this, let's set these numbers equal to $2 + 4x$ and confirm that there is a whole number x which equals the values selected.

$2 + 4x = 90 \Rightarrow 4x = 88 \Rightarrow x = 22 \, \checkmark$

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$2 + 4x = 170 \Rightarrow 4x = 168 \Rightarrow x = 42 \, \checkmark$