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Popular >

h(x)=2sec(pi/4 (x+1))

Solution

h (x) = 2 sec (\frac{π}{4} (x + 1))

Solution

Period : 8

Domain : 8 n \leq x < 1 + 8 n or 1 + 8 n < x < 5 + 8 n or 5 + 8 n < x < 8 + 8 n

Range : f (x) \leq - 2 or f (x) \geq 2

Y Intercepts : (0, 22)

Asymptotes : Vertical x = 1 + 8 n, x = 5 + 8 n

Extreme Points : Maximum (3 + 8 n, - 2), Minimum (7 + 8 n, 2)

+1

Interval Notation

Domain : [8 n, 1 + 8 n) \cup (1 + 8 n, 5 + 8 n) \cup (5 + 8 n, 8 + 8 n)

Range : (- \infty, - 2] \cup [2, \infty)

Solution steps

Periodicity of

2 sec (\frac{π}{4} (x + 1)) : 8

Domain of

2 sec (\frac{π}{4} (x + 1)) : 8 n \leq x < 1 + 8 n or 1 + 8 n < x < 5 + 8 n or 5 + 8 n < x < 8 + 8 n

Range of

2 sec (\frac{π}{4} (x + 1)) : f (x) \leq - 2 or f (x) \geq 2

Axis interception points of

2 sec (\frac{π}{4} (x + 1)) :

Y Intercepts

: (0, 22)

Asymptotes of

2 sec (\frac{π}{4} (x + 1)) :

Vertical

: x = 1 + 8 n, x = 5 + 8 n

Extreme Points of

2 sec (\frac{π}{4} (x + 1)) :

Maximum

(3 + 8 n, - 2),

Minimum

(7 + 8 n, 2)

Popular Examples

f (n) = 3 n^{2} + 7 n + 4

f(x)=sqrt(1+e^{2x)}

f (x) = 1 + e^{2 x}

f (x) = \frac{3}{4 x ^{2}}

f(x)=2(1/3)^x-1

f (x) = 2 (\frac{1}{3})^{x} - 1

f(x)=2(1/3)^x-2

f (x) = 2 (\frac{1}{3})^{x} - 2

Frequently Asked Questions (FAQ)

What is the h(x)=2sec(pi/4 (x+1)) ?
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