en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

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

Solution

f (x) = 2 x^{2} + x - 7

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{57}{8}

X Intercepts : (\frac{- 1 + 57}{4}, 0), (\frac{- 1 - 57}{4}, 0), Y Intercepts : (0, - 7)

Vertex : Minimum (- \frac{1}{4}, - \frac{57}{8})

Inverse : \frac{- 1 + 8 x + 57}{4}, \frac{- 1 - 8 x + 57}{4}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{57}{8}, \infty)

Solution steps

Domain of

2 x^{2} + x - 7 : - \infty < x < \infty

Range of

2 x^{2} + x - 7 : f (x) \geq - \frac{57}{8}

Axis interception points of

2 x^{2} + x - 7 :

X Intercepts

: (\frac{- 1 + 57}{4}, 0), (\frac{- 1 - 57}{4}, 0),

Y Intercepts

: (0, - 7)

Vertex of

2 x^{2} + x - 7 :

Minimum

(- \frac{1}{4}, - \frac{57}{8})

Inverse of

2 x^{2} + x - 7 : \frac{- 1 + 8 x + 57}{4}, \frac{- 1 - 8 x + 57}{4}

Graph

Popular Examples

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

f(x)=(2x-7)/(6x^2-5x+1)

f(x)=(0.2x-9.9)ln(1.26x+2.87)

f(x)=(x^2+2x-23)/(x-4)

Frequently Asked Questions (FAQ)

What is the f(x)=2x^2+x-7 ?
The f(x)=2x^2+x-7 is