What is the y={cos(x):x>0,x^2+3:x<= 0} ?

The y={cos(x):x>0,x^2+3:x<= 0} is

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y={cos(x):x>0,x^2+3:x<= 0}

y = {cos (x) : x > 0, x^{2} + 3 : x \leq 0}

Domain : - \infty < x < \infty

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

Asymptotes : None

Monotone Intervals : Decreasing : - \infty < x < 0, Constant : E m pt y I n t er v a l, Decreasing : 2 πn < x < π + 2 πn, Increasing : π + 2 πn < x < 2 π + 2 πn

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

{cos (x) : x > 0, x^{2} + 3 : x \leq 0} : - \infty < x < \infty

Axis interception points of

{cos (x) : x > 0, x^{2} + 3 : x \leq 0} :

X Intercepts

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

Y Intercepts

: (0, 3)

Asymptotes of

{cos (x) : x > 0, x^{2} + 3 : x \leq 0} :

None

Monotone Intervals of

{cos (x) : x > 0, x^{2} + 3 : x \leq 0} :

Decreasing

: - \infty < x < 0,

Constant

: E m pt y I n t er v a l,

Decreasing

: 2 πn < x < π + 2 πn,

Increasing

: π + 2 πn < x < 2 π + 2 πn

y = (\frac{2}{1 + x})^{5}

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

y = - x^{3} + 4 x

y = 2 6 - x, 3 < x < 6

f (x) = 5 x^{4} - 20 x^{3} + 9