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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 - 4

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

Vertex : Minimum (1, - 4)

Inverse : 1 + x + 4, 1 - x + 4

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 4, \infty)

Solution steps

Domain of

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

Range of

x^{2} - 2 x - 3 : f (x) \geq - 4

Axis interception points of

x^{2} - 2 x - 3 :

X Intercepts

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

Y Intercepts

: (0, - 3)

Vertex of

x^{2} - 2 x - 3 :

Minimum

(1, - 4)

Inverse of

x^{2} - 2 x - 3 : 1 + x + 4, 1 - x + 4

Popular Examples

domain of y=-1 domain

y = - 1

extreme f(x)= 1/3 x^3-x^2+x+5 extreme points

f (x) = \frac{1}{3} x^{3} - x^{2} + x + 5

perpendicular y= 1/5 x-3,(-2,5)perpendicular

y = \frac{1}{5} x - 3, (- 2, 5)

inverse of f(x)=(x-5)^{1/5}inverse

f (x) = (x - 5)^{\frac{1}{5}}

critical f(x)=x^{5/3}-5x^{2/3}critical points

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

Frequently Asked Questions (FAQ)

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