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Popular >

y=-5cos(2x)+3

Solution

y = - 5 cos (2 x) + 3

Solution

Period : π

Domain : - \infty < x < \infty

Range : - 2 \leq f (x) \leq 8

X Intercepts : (\frac{arccos ( \frac{3}{5} )}{2} + πn, 0), (π - \frac{arccos ( \frac{3}{5} )}{2} + πn, 0), Y Intercepts : (0, - 2)

Asymptotes : None

Extreme Points : Minimum (πn, - 2), Maximum (\frac{π}{2} + πn, 8)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 2, 8]

Solution steps

Periodicity of

- 5 cos (2 x) + 3 : π

Domain of

- 5 cos (2 x) + 3 : - \infty < x < \infty

Range of

- 5 cos (2 x) + 3 : - 2 \leq f (x) \leq 8

Axis interception points of

- 5 cos (2 x) + 3 :

X Intercepts

: (\frac{arccos ( \frac{3}{5} )}{2} + πn, 0), (π - \frac{arccos ( \frac{3}{5} )}{2} + πn, 0),

Y Intercepts

: (0, - 2)

Asymptotes of

- 5 cos (2 x) + 3 :

None

Extreme Points of

- 5 cos (2 x) + 3 :

Minimum

(πn, - 2),

Maximum

(\frac{π}{2} + πn, 8)

Popular Examples

f(x)=e^{x/(10)}

f (x) = e^{\frac{x}{10}}

y = 8 cos (x)

f(x)=(x+2)/(x^2+x-12)

f (x) = \frac{x + 2}{x ^{2} + x - 12}

f(x)=x^4-2x^2-2

f (x) = x^{4} - 2 x^{2} - 2

f(x)=x^4-2x^2+8

f (x) = x^{4} - 2 x^{2} + 8

Frequently Asked Questions (FAQ)

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