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Popular >

range of f(x)=x^2-5

Solution

range

f (x) = x^{2} - 5

Solution

f (x) \geq - 5

+1

Interval Notation

[- 5, \infty)

Solution steps

Vertex of

x^{2} - 5 :

Minimum

(0, - 5)

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, - 5)

f (x) \geq - 5

Popular Examples

monotone x^2+1 monotone intervals

x^{2} + 1

inverse of f(x)=sqrt(4x+5)inverse

f (x) = 4 x + 5

distance (-6,-7),(0,0)distance

(- 6, - 7), (0, 0)

inverse of sqrt(4-y^2)+1 inverse

4 - y^{2} + 1

asymptotes of (2e^x)/(e^x-5)asymptotes

\frac{2 e ^{x}}{e ^{x} - 5}

Frequently Asked Questions (FAQ)

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