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Popular >

range of f(x)=x^2-10x+16

Solution

range

f (x) = x^{2} - 10 x + 16

Solution

f (x) \geq - 9

+1

Interval Notation

[- 9, \infty)

Solution steps

Vertex of

x^{2} - 10 x + 16 :

Minimum

(5, - 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}) = (5, - 9)

f (x) \geq - 9

Popular Examples

range of 2ln(x)range

2 ln (x)

distance (5,3),(4,6)distance

(5, 3), (4, 6)

domain of (5^{1/x})/((x+1)^2)domain

\frac{5 ^{\frac{1}{x}}}{( x + 1 ) ^{2}}

domain of f(x)=-x+13 domain

f (x) = - x + 13

inverse of (2x+7)/(5x+4)inverse

\frac{2 x + 7}{5 x + 4}

Frequently Asked Questions (FAQ)

What is the range of f(x)=x^2-10x+16 ?
The range of f(x)=x^2-10x+16 is f(x)>=-9