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Popular >

range of f(x)=x^2+10x+24

Solution

range

f (x) = x^{2} + 10 x + 24

Solution

f (x) \geq - 1

+1

Interval Notation

[- 1, \infty)

Solution steps

Vertex of

x^{2} + 10 x + 24 :

Minimum

(- 5, - 1)

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, - 1)

f (x) \geq - 1

Popular Examples

domain of f(x)=sqrt(-(2x)/3+10)domain

f (x) = - \frac{2 x}{3} + 10

asymptotes of f(x)=(x+1)/((x+3)(x-2))asymptotes

f (x) = \frac{x + 1}{( x + 3 ) ( x - 2 )}

domain of f(x)=-7x^2 domain

f (x) = - 7 x^{2}

asymptotes of f(x)= 1/(x^2+1)asymptotes

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

range of f(x)= 1/6 x-4 range

f (x) = \frac{1}{6} x - 4

Frequently Asked Questions (FAQ)

What is the range of f(x)=x^2+10x+24 ?
The range of f(x)=x^2+10x+24 is f(x)>=-1