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Popular >

h(t)=3cos((pit)/(10))

Solution

h (t) = 3 cos (\frac{π t}{10})

Solution

Period : 20

Domain : - \infty < t < \infty

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

X Intercepts : (5 + 20 n, 0), (15 + 20 n, 0), Y Intercepts : (0, 3)

Asymptotes : None

Extreme Points : Maximum (20 n, 3), Minimum (10 + 20 n, - 3)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 3, 3]

Solution steps

Periodicity of

3 cos (\frac{π t}{10}) : 20

Domain of

3 cos (\frac{π t}{10}) : - \infty < t < \infty

Range of

3 cos (\frac{π t}{10}) : - 3 \leq f (t) \leq 3

Axis interception points of

3 cos (\frac{π t}{10}) :

X Intercepts

: (5 + 20 n, 0), (15 + 20 n, 0),

Y Intercepts

: (0, 3)

Asymptotes of

3 cos (\frac{π t}{10}) :

None

Extreme Points of

3 cos (\frac{π t}{10}) :

Maximum

(20 n, 3),

Minimum

(10 + 20 n, - 3)

Popular Examples

f(x)=(x-2)^{(1/2)}

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

f(t)=e^{-2t}+sin(7t)+5t^4

f (t) = e^{- 2 t} + sin (7 t) + 5 t^{4}

y = \frac{x - 3}{x - 2}

f (x) = 4 x^{2} + 27

f(x)=-3x^2+18x-24

f (x) = - 3 x^{2} + 18 x - 24

Frequently Asked Questions (FAQ)

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