en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y=(-1)/2 x^2+11/4 x+3/2

Solution

y = \frac{- 1}{2} x^{2} + \frac{11}{4} x + \frac{3}{2}

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{169}{32}

X Intercepts : (- \frac{1}{2}, 0), (6, 0), Y Intercepts : (0, \frac{3}{2})

Vertex : Maximum (\frac{11}{4}, \frac{169}{32})

Inverse : - \frac{- 11 + - 32 x + 169}{4}, - \frac{- 11 - - 32 x + 169}{4}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{169}{32}]

Solution steps

Domain of

\frac{- 1}{2} x^{2} + \frac{11}{4} x + \frac{3}{2} : - \infty < x < \infty

Range of

\frac{- 1}{2} x^{2} + \frac{11}{4} x + \frac{3}{2} : f (x) \leq \frac{169}{32}

Axis interception points of

\frac{- 1}{2} x^{2} + \frac{11}{4} x + \frac{3}{2} :

X Intercepts

: (- \frac{1}{2}, 0), (6, 0),

Y Intercepts

: (0, \frac{3}{2})

Vertex of

\frac{- 1}{2} x^{2} + \frac{11}{4} x + \frac{3}{2} :

Maximum

(\frac{11}{4}, \frac{169}{32})

Inverse of

\frac{- 1}{2} x^{2} + \frac{11}{4} x + \frac{3}{2} : - \frac{- 11 + - 32 x + 169}{4}, - \frac{- 11 - - 32 x + 169}{4}

Popular Examples

y = 2 x^{3} - x^{2} + 2

f(x)= 3/(4x^4-8x^2)

f (x) = \frac{3}{4 x ^{4} - 8 x ^{2}}

simplify x-(-x+5)simplify

x - (- x + 5)

y=(xln(x))/((ln(x))-2)

y = \frac{x ln ( x )}{( ln ( x ) ) - 2}

f(x)=sqrt(10-2x)+3sqrt(x-1)

f (x) = 10 - 2 x + 3 x - 1

Frequently Asked Questions (FAQ)

What is the y=(-1)/2 x^2+11/4 x+3/2 ?
The y=(-1)/2 x^2+11/4 x+3/2 is