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Popular Functions >

y=3sin(7x+1)

Solution

y = 3 sin (7 x + 1)

Solution

Period : \frac{2 π}{7}

Domain : - \infty < x < \infty

Range : - 3 \leq f (x) \leq 3

X Intercepts : (- \frac{1}{7} + \frac{2 π}{7} + \frac{2 πn}{7}, 0), (\frac{π}{7} - \frac{1}{7} + \frac{2 πn}{7}, 0), Y Intercepts : (0, 3 sin (7 \cdot 0 + 1))

Asymptotes : None

Extreme Points : Maximum (- \frac{1}{7} + \frac{π}{14} + \frac{2 π}{7} n, 3), Minimum (- \frac{1}{7} + \frac{3 π}{14} + \frac{2 π}{7} n, - 3)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 3, 3]

Solution steps

Periodicity of

3 sin (7 x + 1) : \frac{2 π}{7}

Domain of

3 sin (7 x + 1) : - \infty < x < \infty

Range of

3 sin (7 x + 1) : - 3 \leq f (x) \leq 3

Axis interception points of

3 sin (7 x + 1) :

X Intercepts

: (- \frac{1}{7} + \frac{2 π}{7} + \frac{2 πn}{7}, 0), (\frac{π}{7} - \frac{1}{7} + \frac{2 πn}{7}, 0),

Y Intercepts

: (0, 3 sin (7 \cdot 0 + 1))

Asymptotes of

3 sin (7 x + 1) :

None

Extreme Points of

3 sin (7 x + 1) :

Maximum

(- \frac{1}{7} + \frac{π}{14} + \frac{2 π}{7} n, 3),

Minimum

(- \frac{1}{7} + \frac{3 π}{14} + \frac{2 π}{7} n, - 3)

Graph

Popular Examples

f(x)=(-2x+5)/(x-3)

f(x)=0.01x^3-0.45x^2+2.43x+300

f(r)=r^{20}+r^{10}+1

f(x)=(24+x)(600-15x)

Frequently Asked Questions (FAQ)

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