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Popular >

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

Solution

range

g (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

intercepts of (x^2-x-6)/(x^2-25)intercepts

\frac{x ^{2} - x - 6}{x ^{2} - 25}

y = - x^{2} + 4

domain of f(x)=(sqrt(x+3))/(x-7)domain

f (x) = \frac{x + 3}{x - 7}

domain of sqrt(2-\sqrt{x)}domain

2 - x

y = 2 cos (x)

Frequently Asked Questions (FAQ)

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