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Popular >

y=4sin(x)-3cos(x)

Solution

y = 4 sin (x) - 3 cos (x)

Solution

Period : 2 π

Domain : - \infty < x < \infty

Range : - 5 \leq f (x) \leq 5

X Intercepts : (arctan (\frac{3}{4}) + 2 πn, 0), (arctan (\frac{3}{4}) + π + 2 πn, 0), Y Intercepts : (0, - 3)

Asymptotes : None

Extreme Points : Maximum (- arctan (\frac{4}{3}) + π + 2 πn, 5), Minimum (- arctan (\frac{4}{3}) + 2 π + 2 πn, - 5)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 5, 5]

Solution steps

Periodicity of

4 sin (x) - 3 cos (x) : 2 π

Domain of

4 sin (x) - 3 cos (x) : - \infty < x < \infty

Range of

4 sin (x) - 3 cos (x) : - 5 \leq f (x) \leq 5

Axis interception points of

4 sin (x) - 3 cos (x) :

X Intercepts

: (arctan (\frac{3}{4}) + 2 πn, 0), (arctan (\frac{3}{4}) + π + 2 πn, 0),

Y Intercepts

: (0, - 3)

Asymptotes of

4 sin (x) - 3 cos (x) :

None

Extreme Points of

4 sin (x) - 3 cos (x) :

Maximum

(- arctan (\frac{4}{3}) + π + 2 πn, 5),

Minimum

(- arctan (\frac{4}{3}) + 2 π + 2 πn, - 5)

Popular Examples

g (x) = 3 + x + e^{x}

y = \frac{3}{x + 7}

y = \frac{3}{x + 4}

f(x)=\sqrt[3]{3}*\sqrt[4]{x}

y=(sqrt(2x+14))/(x^2-49)

y = \frac{2 x + 14}{x ^{2} - 49}

Frequently Asked Questions (FAQ)

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