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Popular >

y=3x^2-12x+1

Solution

y = 3 x^{2} - 12 x + 1

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 11

X Intercepts : (\frac{6 + 33}{3}, 0), (\frac{6 - 33}{3}, 0), Y Intercepts : (0, 1)

Vertex : Minimum (2, - 11)

Inverse : \frac{12 + 12 x + 132}{6}, \frac{12 - 12 x + 132}{6}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 11, \infty)

Solution steps

Domain of

3 x^{2} - 12 x + 1 : - \infty < x < \infty

Range of

3 x^{2} - 12 x + 1 : f (x) \geq - 11

Axis interception points of

3 x^{2} - 12 x + 1 :

X Intercepts

: (\frac{6 + 33}{3}, 0), (\frac{6 - 33}{3}, 0),

Y Intercepts

: (0, 1)

Vertex of

3 x^{2} - 12 x + 1 :

Minimum

(2, - 11)

Inverse of

3 x^{2} - 12 x + 1 : \frac{12 + 12 x + 132}{6}, \frac{12 - 12 x + 132}{6}

Popular Examples

y = 3 x^{2} - 12 x + 7

p(x)=(-2x^5+x^4+5x^3+4x+1)/((x-2))

p (x) = \frac{- 2 x ^{5} + x ^{4} + 5 x ^{3} + 4 x + 1}{( x - 2 )}

f(x)=(1+ln(x))^{1+ln(x)}

f (x) = (1 + ln (x))^{1 + l n (x)}

y=xcos(2x)-e^xsin(x)

y = x cos (2 x) - e^{x} sin (x)

f(x)=(x+6)/(2x-4)

f (x) = \frac{x + 6}{2 x - 4}

Frequently Asked Questions (FAQ)

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