en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

f(x)=(x^2+3x)(4x+5)

Solution

f (x) = (x^{2} + 3 x) (4 x + 5)

Solution

Domain : - \infty < x < \infty

Range : - \infty < f (x) < \infty

X Intercepts : (0, 0), (- 3, 0), (- \frac{5}{4}, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (- \frac{17 + 109}{12}, \frac{323 + 109 109}{216}), Minimum (\frac{- 17 + 109}{12}, \frac{323 - 109 109}{216})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

(x^{2} + 3 x) (4 x + 5) : - \infty < x < \infty

Range of

(x^{2} + 3 x) (4 x + 5) : - \infty < f (x) < \infty

Axis interception points of

(x^{2} + 3 x) (4 x + 5) :

X Intercepts

: (0, 0), (- 3, 0), (- \frac{5}{4}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

(x^{2} + 3 x) (4 x + 5) :

None

Extreme Points of

(x^{2} + 3 x) (4 x + 5) :

Maximum

(- \frac{17 + 109}{12}, \frac{323 + 109 109}{216}),

Minimum

(\frac{- 17 + 109}{12}, \frac{323 - 109 109}{216})

Graph

Popular Examples

f(x)=(x^2-4x-5)/(2x^2-x-10)

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

f(x)=-3x^3+20x^2-60x+500

g(x)=(x-2)/(x^2+4x+4)

Frequently Asked Questions (FAQ)

What is the f(x)=(x^2+3x)(4x+5) ?
The f(x)=(x^2+3x)(4x+5) is