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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 0

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

Asymptotes : None

Extreme Points : Minimum (- 3, 0), Maximum (- 1, 4), Minimum (1, 0)

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Interval Notation

Domain : (- \infty, \infty)

Range : [0, \infty)

Solution steps

Domain of

x^{2} + 2 x - 3 : - \infty < x < \infty

Range of

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

Axis interception points of

x^{2} + 2 x - 3 :

X Intercepts

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

Y Intercepts

: (0, 3)

Asymptotes of

x^{2} + 2 x - 3 :

None

Extreme Points of

x^{2} + 2 x - 3 :

Minimum

(- 3, 0),

Maximum

(- 1, 4),

Minimum

(1, 0)

Popular Examples

y=x^3-3x^2+3x-2

y = x^{3} - 3 x^{2} + 3 x - 2

y=x^3-3x^2+3x-3

y = x^{3} - 3 x^{2} + 3 x - 3

f(x)=-x^5+2x^3-x-2

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

f (x) = \frac{x + 8}{3}

f(x)=(sqrt(x)+10)/x

f (x) = \frac{x + 10}{x}

Frequently Asked Questions (FAQ)

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