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Popular >

f(x)=5sin^2(x)-14sin(x)-3

Solution

f (x) = 5 sin^{2} (x) - 14 sin (x) - 3

Solution

Period : 2 π

Domain : - \infty < x < \infty

Range : - 12 \leq f (x) \leq 16

X Intercepts : (- arcsin (\frac{1}{5}) + 2 π + 2 πn, 0), (π + arcsin (\frac{1}{5}) + 2 πn, 0), Y Intercepts : (0, - 3)

Asymptotes : None

Extreme Points : Minimum (\frac{π}{2} + 2 πn, - 12), Maximum (\frac{3 π}{2} + 2 πn, 16)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 12, 16]

Solution steps

Periodicity of

5 sin^{2} (x) - 14 sin (x) - 3 : 2 π

Domain of

5 sin^{2} (x) - 14 sin (x) - 3 : - \infty < x < \infty

Range of

5 sin^{2} (x) - 14 sin (x) - 3 : - 12 \leq f (x) \leq 16

Axis interception points of

5 sin^{2} (x) - 14 sin (x) - 3 :

X Intercepts

: (- arcsin (\frac{1}{5}) + 2 π + 2 πn, 0), (π + arcsin (\frac{1}{5}) + 2 πn, 0),

Y Intercepts

: (0, - 3)

Asymptotes of

5 sin^{2} (x) - 14 sin (x) - 3 :

None

Extreme Points of

5 sin^{2} (x) - 14 sin (x) - 3 :

Minimum

(\frac{π}{2} + 2 πn, - 12),

Maximum

(\frac{3 π}{2} + 2 πn, 16)

Popular Examples

g (x) = 5 x - 3

f(x)=2(e)^{1+x}-6

f (x) = 2 (e)^{1 + x} - 6

y^2=4x,0<= x<= 1,0<= y<= 1

y^{2} = 4 x, 0 \leq x \leq 1, 0 \leq y \leq 1

y=x^{2/3},0<= x<= 1

y = x^{\frac{2}{3}}, 0 \leq x \leq 1

y=(x^4)/4-4/3 x^3+3/2 x^2+1

y = \frac{x ^{4}}{4} - \frac{4}{3} x^{3} + \frac{3}{2} x^{2} + 1

Frequently Asked Questions (FAQ)

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