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Popular >

range of f(x)=x^2-9

Solution

range

f (x) = x^{2} - 9

Solution

f (x) \geq - 9

+1

Interval Notation

[- 9, \infty)

Solution steps

Vertex of

x^{2} - 9 :

Minimum

(0, - 9)

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, - 9)

f (x) \geq - 9

Popular Examples

periodicity of f(x)=4csc(4x)periodicity

f (x) = 4 csc (4 x)

symmetry x^2+3 symmetry

x^{2} + 3

inverse of f(x)=(3x-2)/(x+5)inverse

f (x) = \frac{3 x - 2}{x + 5}

domain of (x-1)^2,x>= 1 domain

(x - 1)^{2}, x \geq 1

domain of f(x)=(1+sqrt(x))/(sqrt(x^2-1))domain

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

Frequently Asked Questions (FAQ)

What is the range of f(x)=x^2-9 ?
The range of f(x)=x^2-9 is f(x)>=-9