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Popular >

y=4sin((x-pi)/4)-3

Solution

y = 4 sin (\frac{x - π}{4}) - 3

Solution

Period : 8 π

Domain : - \infty < x < \infty

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

X Intercepts : (4 arcsin (\frac{3}{4}) + π + 8 πn, 0), (5 π - 4 arcsin (\frac{3}{4}) + 8 πn, 0), Y Intercepts : (0, - 22 - 3)

Asymptotes : None

Extreme Points : Maximum (3 π + 8 πn, 1), Minimum (7 π + 8 πn, - 7)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 7, 1]

Solution steps

Periodicity of

4 sin (\frac{x - π}{4}) - 3 : 8 π

Domain of

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

Range of

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

Axis interception points of

4 sin (\frac{x - π}{4}) - 3 :

X Intercepts

: (4 arcsin (\frac{3}{4}) + π + 8 πn, 0), (5 π - 4 arcsin (\frac{3}{4}) + 8 πn, 0),

Y Intercepts

: (0, - 22 - 3)

Asymptotes of

4 sin (\frac{x - π}{4}) - 3 :

None

Extreme Points of

4 sin (\frac{x - π}{4}) - 3 :

Maximum

(3 π + 8 πn, 1),

Minimum

(7 π + 8 πn, - 7)

Popular Examples

f(x)=10x^2-2+2x^3+8x^6-4x

f (x) = 10 x^{2} - 2 + 2 x^{3} + 8 x^{6} - 4 x

f(n)=(2^n-1)/(4^n-1)

f (n) = \frac{2 ^{n} - 1}{4 ^{n} - 1}

h (x) = 3 ∣ x + 3 ∣

f(x)=3x^2+6x+11

f (x) = 3 x^{2} + 6 x + 11

y = 8 sin (2 x)

Frequently Asked Questions (FAQ)

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