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Popular >

range of X^2-1

Solution

range

X^{2} - 1

Solution

f (X) \geq - 1

+1

Interval Notation

[- 1, \infty)

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

Popular Examples

critical f(x)=x^2+(16)/x critical points

f (x) = x^{2} + \frac{16}{x}

domain of sqrt(t)-3 domain

t - 3

range of f(x)=sqrt(x^2+x-6)range

f (x) = x^{2} + x - 6

inverse of f(x)= 3/(2x)inverse

f (x) = \frac{3}{2 x}

slope ofintercept 3x+2y=-6 slope intercept

3 x + 2 y = - 6

Frequently Asked Questions (FAQ)

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