en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

f(x)=5x^2-13x-5

Solution

f (x) = 5 x^{2} - 13 x - 5

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{269}{20}

X Intercepts : (\frac{13 + 269}{10}, 0), (\frac{13 - 269}{10}, 0), Y Intercepts : (0, - 5)

Vertex : Minimum (\frac{13}{10}, - \frac{269}{20})

Inverse : \frac{13 + 20 x + 269}{10}, \frac{13 - 20 x + 269}{10}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{269}{20}, \infty)

Solution steps

Domain of

5 x^{2} - 13 x - 5 : - \infty < x < \infty

Range of

5 x^{2} - 13 x - 5 : f (x) \geq - \frac{269}{20}

Axis interception points of

5 x^{2} - 13 x - 5 :

X Intercepts

: (\frac{13 + 269}{10}, 0), (\frac{13 - 269}{10}, 0),

Y Intercepts

: (0, - 5)

Vertex of

5 x^{2} - 13 x - 5 :

Minimum

(\frac{13}{10}, - \frac{269}{20})

Inverse of

5 x^{2} - 13 x - 5 : \frac{13 + 20 x + 269}{10}, \frac{13 - 20 x + 269}{10}

Graph

Popular Examples

roots (1+sin(x))/n

f(x)=5x^3-8x+3x^5+4x^2-7x^4+1

f(x)=log_{2}(cos^2(x))

y=2cos(x)-sin(x)

y=(x^2-4x+5)(x^3-2)

Frequently Asked Questions (FAQ)

What is the f(x)=5x^2-13x-5 ?
The f(x)=5x^2-13x-5 is