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Popular >

y=5-8cos(pi/4 x-pi/2)

Solution

y = 5 - 8 cos (\frac{π}{4} x - \frac{π}{2})

Solution

Period : 8

Domain : - \infty < x < \infty

Range : - 3 \leq f (x) \leq 13

X Intercepts : (2 + \frac{4 arccos ( \frac{5}{8} )}{π} + 8 n, 0), (- \frac{4 arccos ( \frac{5}{8} )}{π} + 2 + 8 n, 0), Y Intercepts : (0, 5)

Asymptotes : None

Extreme Points : Minimum (2 + 8 n, - 3), Maximum (6 + 8 n, 13)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 3, 13]

Solution steps

Periodicity of

5 - 8 cos (\frac{π}{4} x - \frac{π}{2}) : 8

Domain of

5 - 8 cos (\frac{π}{4} x - \frac{π}{2}) : - \infty < x < \infty

Range of

5 - 8 cos (\frac{π}{4} x - \frac{π}{2}) : - 3 \leq f (x) \leq 13

Axis interception points of

5 - 8 cos (\frac{π}{4} x - \frac{π}{2}) :

X Intercepts

: (2 + \frac{4 arccos ( \frac{5}{8} )}{π} + 8 n, 0), (- \frac{4 arccos ( \frac{5}{8} )}{π} + 2 + 8 n, 0),

Y Intercepts

: (0, 5)

Asymptotes of

5 - 8 cos (\frac{π}{4} x - \frac{π}{2}) :

None

Extreme Points of

5 - 8 cos (\frac{π}{4} x - \frac{π}{2}) :

Minimum

(2 + 8 n, - 3),

Maximum

(6 + 8 n, 13)

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Frequently Asked Questions (FAQ)

What is the y=5-8cos(pi/4 x-pi/2) ?
The y=5-8cos(pi/4 x-pi/2) is