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Popular >

f(x)={2x-x^2:x<= 2,x+1:x>2}

Solution

f (x) = {2 x - x^{2} : x \leq 2, x + 1 : x > 2}

Solution

Domain : - \infty < x < \infty

X Intercepts : (0, 0), (2, 0), Y Intercepts : (0, 0)

Asymptotes : Slant y = x + 1

Monotone Intervals : Increasing : - \infty < x < 1, Decreasing : 1 < x < 2, Increasing : 2 < x < \infty

+1

Solution steps

Domain of

{2 x - x^{2} : x \leq 2, x + 1 : x > 2} : - \infty < x < \infty

Axis interception points of

{2 x - x^{2} : x \leq 2, x + 1 : x > 2} :

X Intercepts

: (0, 0), (2, 0),

Y Intercepts

: (0, 0)

Asymptotes of

{2 x - x^{2} : x \leq 2, x + 1 : x > 2} :

Slant

: y = x + 1

Monotone Intervals of

{2 x - x^{2} : x \leq 2, x + 1 : x > 2} :

Increasing

: - \infty < x < 1,

Decreasing

: 1 < x < 2,

Increasing

: 2 < x < \infty

Popular Examples

f(x)=(x+2)/(x^2+2x-15)

f (x) = \frac{x + 2}{x ^{2} + 2 x - 15}

f(x)=(10)/(x-2)

f (x) = \frac{10}{x - 2}

f(x)= 2/(log_{3)(x)}

f (x) = \frac{2}{lo g _{3} ( x )}

f(x)=log_{10}(3/(9-x^2))

f (x) = lo g_{10} (\frac{3}{9 - x ^{2}})

f(t)=12000e^{(0.05+0.02)t}

f (t) = 12000 e^{(0.05 + 0.02) t}

Frequently Asked Questions (FAQ)

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