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Popular >

f(x)=(x-3)(x-1)(x+1)

Solution

f (x) = (x - 3) (x - 1) (x + 1)

Solution

Domain : - \infty < x < \infty

Range : - \infty < f (x) < \infty

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

Asymptotes : None

Extreme Points : Maximum (\frac{3 - 2 3}{3}, \frac{12 3 - 20}{3 3} + 43 - 4), Minimum (\frac{3 + 2 3}{3}, \frac{12 3 + 20}{3 3} - 4 - 43)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

(x - 3) (x - 1) (x + 1) : - \infty < x < \infty

Range of

(x - 3) (x - 1) (x + 1) : - \infty < f (x) < \infty

Axis interception points of

(x - 3) (x - 1) (x + 1) :

X Intercepts

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

Y Intercepts

: (0, 3)

Asymptotes of

(x - 3) (x - 1) (x + 1) :

None

Extreme Points of

(x - 3) (x - 1) (x + 1) :

Maximum

(\frac{3 - 2 3}{3}, \frac{12 3 - 20}{3 3} + 43 - 4),

Minimum

(\frac{3 + 2 3}{3}, \frac{12 3 + 20}{3 3} - 4 - 43)

Popular Examples

f(x)=(sqrt(2x+5))/(x^2+4x+3)

f (x) = \frac{2 x + 5}{x ^{2} + 4 x + 3}

f(x)=-x^2+15x-56

f (x) = - x^{2} + 15 x - 56

y=(x^4)/(16)+1/(2x^2)

y = \frac{x ^{4}}{16} + \frac{1}{2 x ^{2}}

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

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

y = ln (sin (e^{x}))

Frequently Asked Questions (FAQ)

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The f(x)=(x-3)(x-1)(x+1) is