What is the range of y=-3tan(1/2 x) ?

The range of y=-3tan(1/2 x) is -infinity <f(x)<infinity

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range of y=-3tan(1/2 x)

range

y = - 3 tan (\frac{1}{2} x)

- \infty < f (x) < \infty

Interval Notation

(- \infty, \infty)

Solution steps

The range of the basic

tan

function is

- \infty < tan (\frac{1}{2} x) < \infty

- \infty < tan (\frac{1}{2} x) < \infty

Multiply the edges of the range by:

- 3

- \infty < - 3 tan (\frac{1}{2} x) < \infty

Therefore the range is

- \infty < f (x) < \infty

f (x) = \frac{x}{x ^{2} + 2 x - 3}

- \frac{x - 5}{2}

f (x) = 2 x^{3} - 24 x^{2} + 72 x

f (x) = \frac{x ^{2} + 2 x}{- 3 x ^{2} + 3 x + 6}

f (x) = - x + 9

What is the range of y=-3tan(1/2 x) ?
The range of y=-3tan(1/2 x) is -infinity <f(x)<infinity