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Popular >

range of x^2+x-20

Solution

range

x^{2} + x - 20

Solution

f (x) \geq - \frac{81}{4}

+1

Interval Notation

[- \frac{81}{4}, \infty)

Solution steps

Vertex of

x^{2} + x - 20 :

Minimum

(- \frac{1}{2}, - \frac{81}{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{1}{2}, - \frac{81}{4})

f (x) \geq - \frac{81}{4}

Popular Examples

inverse of (1000)/(100+900e^{-x)}inverse

\frac{1000}{100 + 900 e ^{- x}}

domain of f(x)=(x-7)/(x+3)domain

f (x) = \frac{x - 7}{x + 3}

range of (x-1)/(x+3)range

\frac{x - 1}{x + 3}

range of f(x)= 1/3 sqrt(x)-4 range

f (x) = \frac{1}{3} x - 4

domain of f(x)=e^{x-4}domain

f (x) = e^{x - 4}

Frequently Asked Questions (FAQ)

What is the range of x^2+x-20 ?
The range of x^2+x-20 is f(x)>=-81/4