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Popular >

range of-x^2+1

Solution

range

- x^{2} + 1

Solution

f (x) \leq 1

+1

Interval Notation

(- \infty, 1]

Solution steps

Vertex of

- x^{2} + 1 :

Maximum

(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) \leq 1

Popular Examples

asymptotes of f(x)= x/(x^2-x-1)asymptotes

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

domain of tan(2x)domain

tan (2 x)

inverse of f(x)=-2^{x-3}+3 inverse

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

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

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

inflection f(x)=2.5x^2-15x+8 inflection points

f (x) = 2.5 x^{2} - 15 x + 8

Frequently Asked Questions (FAQ)

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