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Popular >

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

Solution

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

Solution

Domain : - 2 \leq x \leq 4

Range : - 2 + sin (4) \leq f (x) \leq \frac{5 π}{6} + \frac{3}{2}

Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Minimum (- 2, - 2 + sin (4)), Maximum (- \frac{π}{6}, - \frac{π}{6} + \frac{3}{2}), Minimum (\frac{π}{6}, \frac{π}{6} - \frac{3}{2}), Maximum (\frac{5 π}{6}, \frac{5 π}{6} + \frac{3}{2}), Minimum (\frac{7 π}{6}, \frac{7 π}{6} - \frac{3}{2}), Maximum (4, 4 - sin (8))

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Solution steps

Domain of

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

Range of

x - sin (2 x), - 2 \leq x \leq 4 : - 2 + sin (4) \leq f (x) \leq \frac{5 π}{6} + \frac{3}{2}

Axis interception points of

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

Y Intercepts

: (0, 0)

Asymptotes of

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

None

Extreme Points of

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

Minimum

(- 2, - 2 + sin (4)),

Maximum

(- \frac{π}{6}, - \frac{π}{6} + \frac{3}{2}),

Minimum

(\frac{π}{6}, \frac{π}{6} - \frac{3}{2}),

Maximum

(\frac{5 π}{6}, \frac{5 π}{6} + \frac{3}{2}),

Minimum

(\frac{7 π}{6}, \frac{7 π}{6} - \frac{3}{2}),

Maximum

(4, 4 - sin (8))

Popular Examples

y = x^{3} + x^{2} - 4 x - 4

y = - \frac{4}{3} x - 4

y = 2 x^{2} + 3 x - 6

f(x)=(x+1)/(x^2+4)

f (x) = \frac{x + 1}{x ^{2} + 4}

f(x)=x^2+14x+51

f (x) = x^{2} + 14 x + 51

Frequently Asked Questions (FAQ)

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