Take on\assume\pick a value for a function

Question

"Find the average value of f(x)=4-x^2 on [0,3]. Does f actually take on this value at some point in the given domain? The average value of f(x)=4-x^2 over the interval [0,3] is 1. The function assumes this value when 4-x^2=1 or x=+ or - square root of 3. Since one of these points, x=square root 3 lies in [0,3], the function does assume its average value in the given domain."

I had to change some parts because of the mathematical symbols.

First would you please explain the use of "take on" in "take on this value"? What does it mean? Would you identify the meaning of it in the link given?

https://en.oxforddictionaries.com/definition/take

Thanks

GPY · Accepted Answer

"take on" can be considered a phrasal verb. In this case it means the same as "assume".

CalifJim · Answer

For future reference, these are possible: x² v3

Type x2, highlight 2, click on "Format", click on Superscript.

Select Insert, click on O Special character, click on v (in row 3).

CJ

Rover_KE · Answer

Note that backslashes (as in your title) are incorrect grammatically.

Take on\assume\pick a value for a function

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