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Popular >

range of f(x)=(x-1)^2-9

Solution

range

f (x) = (x - 1)^{2} - 9

Solution

f (x) \geq - 9

+1

Interval Notation

[- 9, \infty)

Solution steps

Vertex of

(x - 1)^{2} - 9 :

Minimum

(1, - 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}) = (1, - 9)

f (x) \geq - 9

Popular Examples

midpoint (2,-8),(7,-4)midpoint

(2, - 8), (7, - 4)

domain of f(x)=(|x|)/x domain

f (x) = \frac{∣ x ∣}{x}

asymptotes of (x^2+x-12)/(x-3)asymptotes

\frac{x ^{2} + x - 12}{x - 3}

intercepts of (2x)/(x^2-1)intercepts

\frac{2 x}{x ^{2} - 1}

inverse of f(x)=-6x-4 inverse

f (x) = - 6 x - 4

Frequently Asked Questions (FAQ)

What is the range of f(x)=(x-1)^2-9 ?
The range of f(x)=(x-1)^2-9 is f(x)>=-9