en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=-0.5x^2+4x+2

Solution

f (x) = - 0.5 x^{2} + 4 x + 2

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 10

X Intercepts : (- 2 (5 - 2), 0), (2 (2 + 5), 0), Y Intercepts : (0, 2)

Vertex : Maximum (4, 10)

Inverse : - \frac{- 40 + - 200 x + 2000}{10}, - \frac{- 40 - - 200 x + 2000}{10}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 10]

Solution steps

Domain of

- 0.5 x^{2} + 4 x + 2 : - \infty < x < \infty

Range of

- 0.5 x^{2} + 4 x + 2 : f (x) \leq 10

Axis interception points of

- 0.5 x^{2} + 4 x + 2 :

X Intercepts

: (- 2 (5 - 2), 0), (2 (2 + 5), 0),

Y Intercepts

: (0, 2)

Vertex of

- 0.5 x^{2} + 4 x + 2 :

Maximum

(4, 10)

Inverse of

- 0.5 x^{2} + 4 x + 2 : - \frac{- 40 + - 200 x + 2000}{10}, - \frac{- 40 - - 200 x + 2000}{10}

Popular Examples

p(x)=3x^3-3x^2-18x

p (x) = 3 x^{3} - 3 x^{2} - 18 x

y = 1 - 4 x^{2}

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

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

y = 2 arccos (x + 3)

f (x) = ∣ x + 4 ∣ - 3

Frequently Asked Questions (FAQ)

What is the f(x)=-0.5x^2+4x+2 ?
The f(x)=-0.5x^2+4x+2 is