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Popular >

range of 5x^2-5x

Solution

range

5 x^{2} - 5 x

Solution

f (x) \geq - \frac{5}{4}

+1

Interval Notation

[- \frac{5}{4}, \infty)

Solution steps

Vertex of

5 x^{2} - 5 x :

Minimum

(\frac{1}{2}, - \frac{5}{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 = 5,

Vertex

(x_{v}, y_{v}) = (\frac{1}{2}, - \frac{5}{4})

f (x) \geq - \frac{5}{4}

Popular Examples

inverse of f(x)=6x-5 inverse

f (x) = 6 x - 5

extreme f(x)=(x^3)/3-3x^2-7x extreme points

f (x) = \frac{x ^{3}}{3} - 3 x^{2} - 7 x

asymptotes of 5/x+4 asymptotes

\frac{5}{x} + 4

line y= 1/4 x+2 line

y = \frac{1}{4} x + 2

domain of f(x)=sqrt(x^2+9)domain

f (x) = x^{2} + 9

Frequently Asked Questions (FAQ)

What is the range of 5x^2-5x ?
The range of 5x^2-5x is f(x)>=-5/4