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Popular >

y=-1+2sin(pi(3-4x))

Solution

y = - 1 + 2 sin (π (3 - 4 x))

Solution

Period : \frac{1}{2}

Domain : - \infty < x < \infty

Range : - 3 \leq f (x) \leq 1

X Intercepts : (\frac{5}{24} + \frac{n}{2}, 0), (\frac{1}{24} + \frac{n}{2}, 0), Y Intercepts : (0, - 1)

Asymptotes : None

Extreme Points : Maximum (\frac{1}{8} + \frac{1}{2} n, 1), Minimum (\frac{3}{8} + \frac{1}{2} n, - 3)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 3, 1]

Solution steps

Periodicity of

- 1 + 2 sin (π (3 - 4 x)) : \frac{1}{2}

Domain of

- 1 + 2 sin (π (3 - 4 x)) : - \infty < x < \infty

Range of

- 1 + 2 sin (π (3 - 4 x)) : - 3 \leq f (x) \leq 1

Axis interception points of

- 1 + 2 sin (π (3 - 4 x)) :

X Intercepts

: (\frac{5}{24} + \frac{n}{2}, 0), (\frac{1}{24} + \frac{n}{2}, 0),

Y Intercepts

: (0, - 1)

Asymptotes of

- 1 + 2 sin (π (3 - 4 x)) :

None

Extreme Points of

- 1 + 2 sin (π (3 - 4 x)) :

Maximum

(\frac{1}{8} + \frac{1}{2} n, 1),

Minimum

(\frac{3}{8} + \frac{1}{2} n, - 3)

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Frequently Asked Questions (FAQ)

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