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Popular >

range of f(x)=x^2-10x+21

Solution

range

f (x) = x^{2} - 10 x + 21

Solution

f (x) \geq - 4

+1

Interval Notation

[- 4, \infty)

Solution steps

Vertex of

x^{2} - 10 x + 21 :

Minimum

(5, - 4)

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, - 4)

f (x) \geq - 4

Popular Examples

domain of 9x^6-x^5-2x^3+2 domain

9 x^{6} - x^{5} - 2 x^{3} + 2

asymptotes of f(x)=(x^3)/(x^2)asymptotes

f (x) = \frac{x ^{3}}{x ^{2}}

distance (-2,4),(13,10)distance

(- 2, 4), (13, 10)

domain of h(x)=ln(x+6)domain

h (x) = ln (x + 6)

range of y=sqrt(4-x)range

y = 4 - x

Frequently Asked Questions (FAQ)

What is the range of f(x)=x^2-10x+21 ?
The range of f(x)=x^2-10x+21 is f(x)>=-4