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Popular >

range of f(x)=x^2-6x+5

Solution

range

f (x) = x^{2} - 6 x + 5

Solution

f (x) \geq - 4

+1

Interval Notation

[- 4, \infty)

Solution steps

Vertex of

x^{2} - 6 x + 5 :

Minimum

(3, - 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}) = (3, - 4)

f (x) \geq - 4

Popular Examples

domain of f(x)=((5x+9))/(8x)domain

f (x) = \frac{( 5 x + 9 )}{8 x}

intercepts of (6x)/7 (4x)/3 intercepts

\frac{6 x}{7} \frac{4 x}{3}

critical f(x)=xe^{3x}critical points

f (x) = x e^{3 x}

line (1,5),(3,6)line

(1, 5), (3, 6)

domain of f(x)=sqrt(4-x^2)-sqrt(x+1)domain

f (x) = 4 - x^{2} - x + 1

Frequently Asked Questions (FAQ)

What is the range of f(x)=x^2-6x+5 ?
The range of f(x)=x^2-6x+5 is f(x)>=-4