en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

range of 2x^2-1

Solution

range

2 x^{2} - 1

Solution

f (x) \geq - 1

+1

Interval Notation

[- 1, \infty)

Solution steps

Vertex of

2 x^{2} - 1 :

Minimum

(0, - 1)

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 = 2,

Vertex

(x_{v}, y_{v}) = (0, - 1)

f (x) \geq - 1

Popular Examples

domain of 1/(-x+5)domain

\frac{1}{- x + 5}

inverse of f(x)= 4/(x+2)+1 inverse

f (x) = \frac{4}{x + 2} + 1

intercepts of f(x)=(x-3)^2-1 intercepts

f (x) = (x - 3)^{2} - 1

domain of f(x)=log_{10}(x-10)domain

f (x) = lo g_{10} (x - 10)

inverse of F(X)=2X+1 inverse

F (X) = 2 X + 1

Frequently Asked Questions (FAQ)

What is the range of 2x^2-1 ?
The range of 2x^2-1 is f(x)>=-1