What is the f(x)=-3cos(x-pi/3),0<= x<= 2pi ?

The f(x)=-3cos(x-pi/3),0<= x<= 2pi is

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f(x)=-3cos(x-pi/3),0<= x<= 2pi

f (x) = - 3 cos (x - \frac{π}{3}), 0 \leq x \leq 2 π

Period : 2 π

Domain : 0 \leq x \leq 2 π

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

X Intercepts : (\frac{5 π}{6}, 0), (\frac{11 π}{6}, 0), Y Intercepts : (0, - \frac{3}{2})

Asymptotes : None

Extreme Points : Maximum (0, - \frac{3}{2}), Minimum (\frac{π}{3}, - 3), Maximum (\frac{4 π}{3}, 3), Minimum (2 π, - \frac{3}{2})

Interval Notation

Domain : [0, 2 π]

Range : [- 3, 3]

Solution steps

Periodicity of

- 3 cos (x - \frac{π}{3}) : 2 π

Domain of

- 3 cos (x - \frac{π}{3}), 0 \leq x \leq 2 π : 0 \leq x \leq 2 π

Range of

- 3 cos (x - \frac{π}{3}), 0 \leq x \leq 2 π : - 3 \leq f (x) \leq 3

Axis interception points of

- 3 cos (x - \frac{π}{3}), 0 \leq x \leq 2 π :

X Intercepts

: (\frac{5 π}{6}, 0), (\frac{11 π}{6}, 0),

Y Intercepts

: (0, - \frac{3}{2})

Asymptotes of

- 3 cos (x - \frac{π}{3}), 0 \leq x \leq 2 π :

None

Extreme Points of

- 3 cos (x - \frac{π}{3}), 0 \leq x \leq 2 π :

Maximum

(0, - \frac{3}{2}),

Minimum

(\frac{π}{3}, - 3),

Maximum

(\frac{4 π}{3}, 3),

Minimum

(2 π, - \frac{3}{2})

f (t) = \frac{4}{t}

f (x) = \frac{2 x ^{2} - x - 3}{3 x ^{2} + 8 x + 5}

f (x) = x - [x]

y = \frac{x ^{2} - 5 x + 4}{x - 4}

f (x) = - lo g_{10} (x - 3)

What is the f(x)=-3cos(x-pi/3),0<= x<= 2pi ?
The f(x)=-3cos(x-pi/3),0<= x<= 2pi is