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Popular >

y= 3/4 sin(4x-5)+2

Solution

y = \frac{3}{4} sin (4 x - 5) + 2

Solution

Period : \frac{π}{2}

Domain : - \infty < x < \infty

Range : \frac{5}{4} \leq f (x) \leq \frac{11}{4}

Y Intercepts : (0, \frac{3}{4} sin (4 \cdot 0 - 5) + 2)

Asymptotes : None

Extreme Points : Maximum (\frac{10 - 3 π}{8} + \frac{π}{2} n, \frac{11}{4}), Minimum (\frac{10 - π}{8} + \frac{π}{2} n, \frac{5}{4})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [\frac{5}{4}, \frac{11}{4}]

Solution steps

Periodicity of

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

Domain of

\frac{3}{4} sin (4 x - 5) + 2 : - \infty < x < \infty

Range of

\frac{3}{4} sin (4 x - 5) + 2 : \frac{5}{4} \leq f (x) \leq \frac{11}{4}

Axis interception points of

\frac{3}{4} sin (4 x - 5) + 2 :

Y Intercepts

: (0, \frac{3}{4} sin (4 \cdot 0 - 5) + 2)

Asymptotes of

\frac{3}{4} sin (4 x - 5) + 2 :

None

Extreme Points of

\frac{3}{4} sin (4 x - 5) + 2 :

Maximum

(\frac{10 - 3 π}{8} + \frac{π}{2} n, \frac{11}{4}),

Minimum

(\frac{10 - π}{8} + \frac{π}{2} n, \frac{5}{4})

Popular Examples

f(x)=-2x^5-1.2x^4+10x-3

f (x) = - 2 x^{5} - 1.2 x^{4} + 10 x - 3

y = 2 x^{2} - 4 x + 9

y = x - 3 + 1

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

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

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

Frequently Asked Questions (FAQ)

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