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A "family of functions" is simply a group of functions that have some common characteristic. You can decide for yourself whether you consider them similar enough or not.

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Q: Would the functions f(x)12g(x)-9x-2 and h(x)-9x be considered a family of functions?
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How would you explain logarithmic converter?

Logarithmic functions are converted to become exponential functions because both are inverses of one another.


How does the exponential function differ from other functions?

Every function differs from every other function. Otherwise they would not be different functions!


What family would have a knight been born in?

A rich or royal family.


Is the graph of two continuous function is always continue?

Well, it sounds like a plausible statement, and maybe it would be true . But we haveno idea what the graph of two functions is.Perhaps you could graph the sum of two functions, or the difference of two functions,or their product, or their quotient. We believe that if the original two functions areboth continuous, then their sum and difference would also be continuous, but theirproduct and their quotient might not necessarily be continuous. However, we stilldon't know what the "graph of two functions" is.