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Popular >

range of x^2-3x-4

Solution

range

x^{2} - 3 x - 4

Solution

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

+1

Interval Notation

[- \frac{25}{4}, \infty)

Solution steps

Vertex of

x^{2} - 3 x - 4 :

Minimum

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

For a parabola

a x^{2} + b x + c

with Vertex

(x_{v}, y_{v})

If

a < 0

the range is

f (x) \leq y_{v}

If

a > 0

the range is

f (x) \geq y_{v}

a = 1,

Vertex

(x_{v}, y_{v}) = (\frac{3}{2}, - \frac{25}{4})

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

Popular Examples

inverse of f(x)=7x^3-4 inverse

f (x) = 7 x^{3} - 4

domain of f(x)=(\sqrt[3]{x})/(x^2+1)domain

domain of f(x)=(x-1)/(x^2-x)domain

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

inverse of f(x)=1+e^{1-\sqrt[3]{x}}inverse

simplify (1.6)(3.2)simplify

(1.6) (3.2)

Frequently Asked Questions (FAQ)

What is the range of x^2-3x-4 ?
The range of x^2-3x-4 is f(x)>=-25/4