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Popular Functions >

h(x)=5sin(4x-2)-3

Solution

h (x) = 5 sin (4 x - 2) - 3

Solution

Period : \frac{π}{2}

Domain : - \infty < x < \infty

Range : - 8 \leq f (x) \leq 2

X Intercepts : (\frac{1}{2} + \frac{πn}{2} + \frac{arcsin ( \frac{3}{5} )}{4}, 0), (\frac{1}{2} + \frac{π}{4} + \frac{πn}{2} - \frac{arcsin ( \frac{3}{5} )}{4}, 0), Y Intercepts : (0, 5 sin (4 \cdot 0 - 2) - 3)

Asymptotes : None

Extreme Points : Minimum (\frac{4 - π}{8} + \frac{π}{2} n, - 8), Maximum (\frac{1}{2} + \frac{π}{8} + \frac{π}{2} n, 2)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 8, 2]

Solution steps

Periodicity of

5 sin (4 x - 2) - 3 : \frac{π}{2}

Domain of

5 sin (4 x - 2) - 3 : - \infty < x < \infty

Range of

5 sin (4 x - 2) - 3 : - 8 \leq f (x) \leq 2

Axis interception points of

5 sin (4 x - 2) - 3 :

X Intercepts

: (\frac{1}{2} + \frac{πn}{2} + \frac{arcsin ( \frac{3}{5} )}{4}, 0), (\frac{1}{2} + \frac{π}{4} + \frac{πn}{2} - \frac{arcsin ( \frac{3}{5} )}{4}, 0),

Y Intercepts

: (0, 5 sin (4 \cdot 0 - 2) - 3)

Asymptotes of

5 sin (4 x - 2) - 3 :

None

Extreme Points of

5 sin (4 x - 2) - 3 :

Minimum

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

Maximum

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

Graph

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Frequently Asked Questions (FAQ)

What is the h(x)=5sin(4x-2)-3 ?
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