SAT scores are normally distributed, with a mean of 500 points and a standard deviation of 100 points. Suppose you take the SAT.
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Here we get the statement:
"sec^-1(0.5) is undefined"
And we want to see if this is true or false, so let's use the properties that we know to find that this is false.
Remember that the sec function is defined as:
Then we will have:
Then is really trivial to see that:
Then we can conclude that the function is not undefined at 0.5, so the statement is false.
Below you can see the graph of the given function, and you will see that it is never undefined.
If you want to learn more, you can read:
