en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

f(x)=-3x^2+80x-3

Solution

f (x) = - 3 x^{2} + 80 x - 3

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{1591}{3}

X Intercepts : (\frac{40 - 1591}{3}, 0), (\frac{40 + 1591}{3}, 0), Y Intercepts : (0, - 3)

Vertex : Maximum (\frac{40}{3}, \frac{1591}{3})

Inverse : - \frac{- 40 + - 3 x + 1591}{3}, \frac{- 3 x + 1591 + 40}{3}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{1591}{3}]

Solution steps

Domain of

- 3 x^{2} + 80 x - 3 : - \infty < x < \infty

Range of

- 3 x^{2} + 80 x - 3 : f (x) \leq \frac{1591}{3}

Axis interception points of

- 3 x^{2} + 80 x - 3 :

X Intercepts

: (\frac{40 - 1591}{3}, 0), (\frac{40 + 1591}{3}, 0),

Y Intercepts

: (0, - 3)

Vertex of

- 3 x^{2} + 80 x - 3 :

Maximum

(\frac{40}{3}, \frac{1591}{3})

Inverse of

- 3 x^{2} + 80 x - 3 : - \frac{- 40 + - 3 x + 1591}{3}, \frac{- 3 x + 1591 + 40}{3}

Graph

Popular Examples

f(x)=-3x^2+4x+6

f(x)=2x^3-7x^2-3x+12

y=cos(log_{10}(4x))

y=2|x|-3|x-1|-4|x+1|+|x-2|

f(x)=|x^2-4|+|x-1|-x

Frequently Asked Questions (FAQ)

What is the f(x)=-3x^2+80x-3 ?
The f(x)=-3x^2+80x-3 is