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Popular >

range of f(x)=x^2-8x+7

Solution

range

f (x) = x^{2} - 8 x + 7

Solution

f (x) \geq - 9

+1

Interval Notation

[- 9, \infty)

Solution steps

Vertex of

x^{2} - 8 x + 7 :

Minimum

(4, - 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}) = (4, - 9)

f (x) \geq - 9

Popular Examples

slope of-13 slope

- 13

range of f(x)=(4x-3)/(6-5x)range

f (x) = \frac{4 x - 3}{6 - 5 x}

distance (3,-2),(3,2)distance

(3, - 2), (3, 2)

domain of f(x)=sqrt((x-1)/(x+3))domain

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

domain of f(x)=5^x-4 domain

f (x) = 5^{x} - 4

Frequently Asked Questions (FAQ)

What is the range of f(x)=x^2-8x+7 ?
The range of f(x)=x^2-8x+7 is f(x)>=-9