What is the f(a)=2cos^2(1/2)a+1 ?

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f(a)=2cos^2(1/2)a+1

f (a) = 2 cos^{2} (\frac{1}{2}) a + 1

Period : \frac{2 π}{2}

Domain : - \infty < a < \infty

Range : - \infty < f (x) < \infty

Y Intercepts : (0, 1)

Asymptotes : Horizontal y = 2 cos^{2} (\frac{1}{2}) a + 1

Solution steps

Periodicity of

2 cos^{2} (\frac{1}{2}) a + 1 : \frac{2 π}{2}

Domain of

2 cos^{2} (\frac{1}{2}) a + 1 : - \infty < a < \infty

Range of

2 cos^{2} (\frac{1}{2}) a + 1 : - \infty < f (x) < \infty

Axis interception points of

2 cos^{2} (\frac{1}{2}) a + 1 :

Y Intercepts

: (0, 1)

Asymptotes of

2 cos^{2} (\frac{1}{2}) a + 1 :

Horizontal

: y = 2 cos^{2} (\frac{1}{2}) a + 1

f (x) = - x^{3} + 3 x^{2} - 3 x + 1

y = (\frac{1}{5}) x - 10

f (x) = \frac{( x - 2 )}{( x ^{2} - x - 6 )}

f (x) = \frac{2 sec ( 3 x )}{1 + sec ( 3 x )}

y = \frac{( x ^{2} + x - 12 )}{( x ^{2} - 4 )}