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

Popular >

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

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

Domain : - \infty < x < \infty

Range : f (x) \geq \frac{7}{4}

Y Intercepts : (0, 4)

Vertex : Minimum (- \frac{3}{2}, \frac{7}{4})

Inverse : \frac{- 3 + 4 x - 7}{2}, \frac{- 3 - 4 x - 7}{2}

Interval Notation

Domain : (- \infty, \infty)

Range : [\frac{7}{4}, \infty)

Solution steps

Domain of

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

Range of

x^{2} + 3 x + 4 : f (x) \geq \frac{7}{4}

Axis interception points of

x^{2} + 3 x + 4 :

Y Intercepts

: (0, 4)

Vertex of

x^{2} + 3 x + 4 :

Minimum

(- \frac{3}{2}, \frac{7}{4})

Inverse of

x^{2} + 3 x + 4 : \frac{- 3 + 4 x - 7}{2}, \frac{- 3 - 4 x - 7}{2}

y = arctan (\frac{x - 1}{x + 1})

3 x - 2 y = 5

y = 5 x + 11, (- 1, 6)

f (x) = \frac{x ^{3} \cdot e ^{2}}{x \cdot ln ( x ) \cdot e}

\frac{x + 4}{x - 4}