What is the f(x)=sin(x)+cos(x),0<= x<= 2pi ?

The f(x)=sin(x)+cos(x),0<= x<= 2pi is

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f(x)=sin(x)+cos(x),0<= x<= 2pi

f (x) = sin (x) + cos (x), 0 \leq x \leq 2 π

Period : 2 π

Domain : 0 \leq x \leq 2 π

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

X Intercepts : (\frac{3 π}{4}, 0), (\frac{7 π}{4}, 0), Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Minimum (0, 1), Maximum (\frac{π}{4}, 2), Minimum (\frac{5 π}{4}, - 2), Maximum (2 π, 1)

Interval Notation

Domain : [0, 2 π]

Range : [- 2, 2]

Solution steps

Periodicity of

sin (x) + cos (x) : 2 π

Domain of

sin (x) + cos (x), 0 \leq x \leq 2 π : 0 \leq x \leq 2 π

Range of

sin (x) + cos (x), 0 \leq x \leq 2 π : - 2 \leq f (x) \leq 2

Axis interception points of

sin (x) + cos (x), 0 \leq x \leq 2 π :

X Intercepts

: (\frac{3 π}{4}, 0), (\frac{7 π}{4}, 0),

Y Intercepts

: (0, 1)

Asymptotes of

sin (x) + cos (x), 0 \leq x \leq 2 π :

None

Extreme Points of

sin (x) + cos (x), 0 \leq x \leq 2 π :

Minimum

(0, 1),

Maximum

(\frac{π}{4}, 2),

Minimum

(\frac{5 π}{4}, - 2),

Maximum

(2 π, 1)

f (x) = 2 - cos^{2} (x)

f (z) = sin (3 z)

f (x) = x^{2} + 11 x - 2

P (x) = x^{3} + 3 x^{2} - 4 x - 12

f (n) = 3 n^{2} - 15 n + 18

What is the f(x)=sin(x)+cos(x),0<= x<= 2pi ?
The f(x)=sin(x)+cos(x),0<= x<= 2pi is