Analyze the function for domain, range, continuity, increasing or decreasing behavior, symmetry, boundedness, extrema, asymptotes, and end behavior.f(x) = -3tan-1x

What will be an ideal response?


Domain: (-?, ?)
Range: (-3?/2, 3?/2)
Continuous
Decreasing
Symmetric with respect to the origin
Bounded
No local extrema
Horizontal asymptotes y = 3?/2 and y = -3?/2
End behavior: (-3tan-1x) = -3?/2 and (-3tan-1x) = 3?/2

Mathematics

You might also like to view...

For the given whole number, determine the place value of the digit 3.463,981

A. ten-thousands B. hundreds C. hundred-thousands D. thousands

Mathematics

Write the inequality obtained by performing the indicated operation on the given inequality.Add 4 to each side of the inequality 5 + 5x < -4.

A. 9 + 5x > 0 B. 9 + 9x > 0 C. 9 + 9x < 0 D. 9 + 5x < 0

Mathematics

Write the whole number in standard form.Seven thousand, six

A. 7600 B. 7006 C. 7060 D. 76,000

Mathematics

Find dy for the given values of x and ?x.y =  + 3; x = 4, ?x = 0.5

A.
B. .47
C.
D. .45

Mathematics