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Popular >

f(x)=2x-4sin(x),0<= x<= 2pi

Solution

f (x) = 2 x - 4 sin (x), 0 \leq x \leq 2 π

Solution

Domain : 0 \leq x \leq 2 π

Range : \frac{2 π}{3} - 23 \leq f (x) \leq \frac{10 π}{3} + 23

Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (0, 0), Minimum (\frac{π}{3}, \frac{2 π}{3} - 23), Maximum (\frac{5 π}{3}, \frac{10 π}{3} + 23), Minimum (2 π, 4 π)

+1

Interval Notation

Domain : [0, 2 π]

Range : [\frac{2 π}{3} - 23, \frac{10 π}{3} + 23]

Solution steps

Domain of

2 x - 4 sin (x), 0 \leq x \leq 2 π : 0 \leq x \leq 2 π

Range of

2 x - 4 sin (x), 0 \leq x \leq 2 π : \frac{2 π}{3} - 23 \leq f (x) \leq \frac{10 π}{3} + 23

Axis interception points of

2 x - 4 sin (x), 0 \leq x \leq 2 π :

Y Intercepts

: (0, 0)

Asymptotes of

2 x - 4 sin (x), 0 \leq x \leq 2 π :

None

Extreme Points of

2 x - 4 sin (x), 0 \leq x \leq 2 π :

Maximum

(0, 0),

Minimum

(\frac{π}{3}, \frac{2 π}{3} - 23),

Maximum

(\frac{5 π}{3}, \frac{10 π}{3} + 23),

Minimum

(2 π, 4 π)

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Frequently Asked Questions (FAQ)

What is the f(x)=2x-4sin(x),0<= x<= 2pi ?
The f(x)=2x-4sin(x),0<= x<= 2pi is