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Popular Functions >

h(x)=x^2+3x-4

Solution

h (x) = x^{2} + 3 x - 4

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{25}{4}

X Intercepts : (1, 0), (- 4, 0), Y Intercepts : (0, - 4)

Vertex : Minimum (- \frac{3}{2}, - \frac{25}{4})

Inverse : \frac{- 3 + 4 x + 25}{2}, \frac{- 3 - 4 x + 25}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{25}{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{25}{4}

Axis interception points of

x^{2} + 3 x - 4 :

X Intercepts

: (1, 0), (- 4, 0),

Y Intercepts

: (0, - 4)

Vertex of

x^{2} + 3 x - 4 :

Minimum

(- \frac{3}{2}, - \frac{25}{4})

Inverse of

x^{2} + 3 x - 4 : \frac{- 3 + 4 x + 25}{2}, \frac{- 3 - 4 x + 25}{2}

Graph

Popular Examples

f(x)=7638*x^{1/2}

y=(-2(x-1))/(x^3-5x^2+8x-4)

E(x)=(x+3)^2-(2x-3)^2+(3x+1)(x-3)-9x

Frequently Asked Questions (FAQ)

What is the h(x)=x^2+3x-4 ?
The h(x)=x^2+3x-4 is