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Popular >

y=3sin(1/3 x)+4

Solution

y = 3 sin (\frac{1}{3} x) + 4

Solution

Period : 6 π

Domain : - \infty < x < \infty

Range : 1 \leq f (x) \leq 7

Y Intercepts : (0, 4)

Asymptotes : None

Extreme Points : Maximum (\frac{3 π}{2} + 6 πn, 7), Minimum (\frac{9 π}{2} + 6 πn, 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [1, 7]

Solution steps

Periodicity of

3 sin (\frac{1}{3} x) + 4 : 6 π

Domain of

3 sin (\frac{1}{3} x) + 4 : - \infty < x < \infty

Range of

3 sin (\frac{1}{3} x) + 4 : 1 \leq f (x) \leq 7

Axis interception points of

3 sin (\frac{1}{3} x) + 4 :

Y Intercepts

: (0, 4)

Asymptotes of

3 sin (\frac{1}{3} x) + 4 :

None

Extreme Points of

3 sin (\frac{1}{3} x) + 4 :

Maximum

(\frac{3 π}{2} + 6 πn, 7),

Minimum

(\frac{9 π}{2} + 6 πn, 1)

Popular Examples

h(z)=sqrt(z^2-2z-3)

h (z) = z^{2} - 2 z - 3

y = - 3 x^{2} - 5 x + 6

f(x)=(x^5(x+1))/(x^4)

f (x) = \frac{x ^{5} ( x + 1 )}{x ^{4}}

f(x)=x^6+x^2+5x

f (x) = x^{6} + x^{2} + 5 x

y=(xe^x)/((ln(x))-5)

y = \frac{x e ^{x}}{( ln ( x ) ) - 5}

Frequently Asked Questions (FAQ)

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