find the domain and range of the function f(x) = 2-3x^2.

also find f(-2) and the numbers which are associated with the numbers -25 in its range.

dear experts please explain me what the second part of the question means with the answer

Dear Student,
Please find below the solution to the asked query:

Given fx=2-3x2Domain of the function will be xRTo find range:f'x=-6xhence for x<0, f'x>0---> fx is increasing for x<0x>0, f'x<0 ----> fx is decreasing for x>0at x=0, f0=2Drawing a graph of the function, it will be an inverted parabola as shown in the figure.Clearly the maximum value of function will be at x=0 which is 2and minimum value will be -hence range of fx=2,-f-2=2-3-22=2-12=-10fx=-25-25=2-3x23x2=27x2=9x=±3hence numbers associated with fx=-25 are ±3this simply means find values of x for which fx=-25

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