What is the range of f(x)=((7))/((2)sin(θ)) ?

The range of f(x)=((7))/((2)sin(θ)) is f(x) = 7/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

range of f(x)=((7))/((2)sin(θ))

range

f (x) = \frac{( 7 )}{( 2 ) sin ( θ )}

f (x) \leq - \frac{7}{2} or f (x) \geq \frac{7}{2}

Interval Notation

(- \infty, - \frac{7}{2}] \cup [\frac{7}{2}, \infty)

Solution steps

Find the minimum and maximum value in each defined interval and unite the results

Domain of

\frac{7}{2 sin ( θ )} : 2 πn < θ < π + 2 πn or π + 2 πn < θ < 2 π + 2 πn

Extreme Points of

\frac{7}{2 sin ( θ )} :

Minimum

(\frac{π}{2} + 2 πn, \frac{7}{2}),

Maximum

(\frac{3 π}{2} + 2 πn, - \frac{7}{2})

Find the range for the interval

0 < θ < π : \frac{7}{2} \leq f (x) < \infty

Find the range for the interval

π < θ < 2 π : - \infty < f (x) \leq - \frac{7}{2}

Combine the ranges of all domain intervals to obtain the function range

f (x) \geq \frac{7}{2} or f (x) \leq - \frac{7}{2}

f (x) \leq - \frac{7}{2} or f (x) \geq \frac{7}{2}

Y (x) = x^{2} - 6

f (x) = ln (5 - 4 x^{2})

- 7 x + 4 y = 19

x^{3} + 4 x - 5

y = x^{2} + 3 x + 2

What is the range of f(x)=((7))/((2)sin(θ)) ?
The range of f(x)=((7))/((2)sin(θ)) is f(x)<=-7/2 \lor f(x)>= 7/2