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Popular >

f(x)=4sin^2(x)+9cos^2(x)

Solution

f (x) = 4 sin^{2} (x) + 9 cos^{2} (x)

Solution

Period : π

Domain : - \infty < x < \infty

Range : 4 \leq f (x) \leq 9

Y Intercepts : (0, 9)

Asymptotes : None

Extreme Points : Maximum (πn, 9), Minimum (\frac{π}{2} + πn, 4)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [4, 9]

Solution steps

Periodicity of

4 sin^{2} (x) + 9 cos^{2} (x) : π

Domain of

4 sin^{2} (x) + 9 cos^{2} (x) : - \infty < x < \infty

Range of

4 sin^{2} (x) + 9 cos^{2} (x) : 4 \leq f (x) \leq 9

Axis interception points of

4 sin^{2} (x) + 9 cos^{2} (x) :

Y Intercepts

: (0, 9)

Asymptotes of

4 sin^{2} (x) + 9 cos^{2} (x) :

None

Extreme Points of

4 sin^{2} (x) + 9 cos^{2} (x) :

Maximum

(πn, 9),

Minimum

(\frac{π}{2} + πn, 4)

Popular Examples

f(x)=-2x^2-16x-31

f (x) = - 2 x^{2} - 16 x - 31

f (s) = \frac{2}{s ^{2}}

h(x)=(x^2+2x+1)/x

h (x) = \frac{x ^{2} + 2 x + 1}{x}

f (x) = (x - 1) 2 + 2

y = \frac{1}{2} x + \frac{1}{4}

Frequently Asked Questions (FAQ)

What is the f(x)=4sin^2(x)+9cos^2(x) ?
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