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Popular >

f(x)=sqrt(x^2+2x-3)

Solution

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

Solution

Domain : x \leq - 3 or x \geq 1

Range : f (x) \geq 0

X Intercepts : (1, 0), (- 3, 0)

Asymptotes : Slant y = x + 1, y = - x - 1

Extreme Points : Minimum (- 3, 0), Minimum (1, 0)

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Interval Notation

Domain : (- \infty, - 3] \cup [1, \infty)

Range : [0, \infty)

Solution steps

Domain of

x^{2} + 2 x - 3 : x \leq - 3 or x \geq 1

Range of

x^{2} + 2 x - 3 : f (x) \geq 0

Axis interception points of

x^{2} + 2 x - 3 :

X Intercepts

: (1, 0), (- 3, 0)

Asymptotes of

x^{2} + 2 x - 3 :

Slant

: y = x + 1, y = - x - 1

Extreme Points of

x^{2} + 2 x - 3 :

Minimum

(- 3, 0),

Minimum

(1, 0)

Popular Examples

f(t)=e^{-2t}(3-cos(t)+t^3)

f (t) = e^{- 2 t} (3 - cos (t) + t^{3})

f (x) = x + (\frac{1}{x})

f (x) = 3 (x + 2)

f(x)=x^2*sin(1/x)

f (x) = x^{2} \cdot sin (\frac{1}{x})

y = 5 x + 23

Frequently Asked Questions (FAQ)

What is the f(x)=sqrt(x^2+2x-3) ?
The f(x)=sqrt(x^2+2x-3) is