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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

inflection sqrt(x)-ln(x)inflection points

x - ln (x)

domain of (2+x)/(x+3)domain

\frac{2 + x}{x + 3}

y = - 3

domain of f(x)=x^4-10x^2+25 domain

f (x) = x^{4} - 10 x^{2} + 25

slope of x+5y=7 slope

x + 5 y = 7

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