en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=-3x^2+x+1

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{13}{12}

X Intercepts : (- \frac{- 1 + 13}{6}, 0), (\frac{1 + 13}{6}, 0), Y Intercepts : (0, 1)

Vertex : Maximum (\frac{1}{6}, \frac{13}{12})

Inverse : - \frac{- 1 + - 12 x + 13}{6}, - \frac{- 1 - - 12 x + 13}{6}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{13}{12}]

Solution steps

Domain of

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

Range of

- 3 x^{2} + x + 1 : f (x) \leq \frac{13}{12}

Axis interception points of

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

X Intercepts

: (- \frac{- 1 + 13}{6}, 0), (\frac{1 + 13}{6}, 0),

Y Intercepts

: (0, 1)

Vertex of

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

Maximum

(\frac{1}{6}, \frac{13}{12})

Inverse of

- 3 x^{2} + x + 1 : - \frac{- 1 + - 12 x + 13}{6}, - \frac{- 1 - - 12 x + 13}{6}

Popular Examples

p(t)=(280)/(1+4e)

p (t) = \frac{280}{1 + 4 e}

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

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

f(x)=(sqrt(x)-1)^2

f (x) = (x - 1)^{2}

f(x)=((-sqrt(1-x)+5))/2

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

p(t)=(6t^2+5t)/((t+1)^2)

p (t) = \frac{6 t ^{2} + 5 t}{( t + 1 ) ^{2}}

Frequently Asked Questions (FAQ)

What is the f(x)=-3x^2+x+1 ?
The f(x)=-3x^2+x+1 is