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Popular >

f(x)=|-2sin(-2x)+sqrt(2)|

Solution

f (x) = - 2 sin (- 2 x) + 2

Solution

Period : π

Domain : - \infty < x < \infty

Range : 0 \leq f (x) \leq 2

X Intercepts : (\frac{7 π}{8} + πn, 0), (\frac{5 π}{8} + πn, 0), Y Intercepts : (0, 2)

Asymptotes : None

Extreme Points : Saddle (\frac{π}{4} + πn, 2 + 2), Saddle (\frac{3 π}{4} + πn, 2 - 2)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, 2]

Solution steps

Periodicity of

- 2 sin (- 2 x) + 2 : π

Domain of

- 2 sin (- 2 x) + 2 : - \infty < x < \infty

Range of

- 2 sin (- 2 x) + 2 : 0 \leq f (x) \leq 2

Axis interception points of

- 2 sin (- 2 x) + 2 :

X Intercepts

: (\frac{7 π}{8} + πn, 0), (\frac{5 π}{8} + πn, 0),

Y Intercepts

: (0, 2)

Asymptotes of

- 2 sin (- 2 x) + 2 :

None

Extreme Points of

- 2 sin (- 2 x) + 2 :

Saddle

(\frac{π}{4} + πn, 2 + 2),

Saddle

(\frac{3 π}{4} + πn, 2 - 2)

Popular Examples

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

f(x)=(sqrt(x-2))/(x^2-9)

f (x) = \frac{x - 2}{x ^{2} - 9}

f(x)=|-x|^{1/2}

f (x) = ∣ - x ∣^{\frac{1}{2}}

f (w) = \frac{w}{9}

y = - 5 sin (x)

Frequently Asked Questions (FAQ)

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