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Popular Functions >

range of f(x)=x^2-10x+25

Solution

range

f (x) = x^{2} - 10 x + 25

Solution

f (x) \geq 0

+1

Interval Notation

[0, \infty)

Solution steps

Vertex of

x^{2} - 10 x + 25 :

Minimum

(5, 0)

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}) = (5, 0)

f (x) \geq 0

Graph

Popular Examples

domain of f(x)=(x-9)/(x^2-81)

d o main f (x) = \frac{x - 9}{x ^{2} - 81}

l in e 2 x - 4 y + 5 = 0

intercepts of 3x+5

in t erce pt s 3 x + 5

intercepts of f(x)=x^2+4x-3

in t erce pt s f (x) = x^{2} + 4 x - 3

simplify (10.4)(4.1)

s im pl i f y (10.4) (4.1)

Frequently Asked Questions (FAQ)

What is the range of f(x)=x^2-10x+25 ?
The range of f(x)=x^2-10x+25 is f(x)>= 0