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Popular Functions >

range of f(x)=x^2-1

Solution

range

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

Solution

f (x) \geq - 1

+1

Interval Notation

Solution steps

Vertex of

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 = 1,

Vertex

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

f (x) \geq - 1

Graph

Popular Examples

domain of (2x)/(x^2-16)domain

\frac{2 x}{x ^{2} - 16}

domain of (x+1)/(3x-8)domain

\frac{x + 1}{3 x - 8}

slope of 7x+y=7 slope

7 x + y = 7

inverse of 2+sqrt(3+x)inverse

2 + 3 + x

3 x - 5 = 0

Frequently Asked Questions (FAQ)

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