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Popular >

range of-x^2+5x-7

Solution

range

- x^{2} + 5 x - 7

Solution

f (x) \leq - \frac{3}{4}

+1

Interval Notation

(- \infty, - \frac{3}{4}]

Solution steps

Vertex of

- x^{2} + 5 x - 7 :

Maximum

(\frac{5}{2}, - \frac{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}) = (\frac{5}{2}, - \frac{3}{4})

f (x) \leq - \frac{3}{4}

Popular Examples

slope ofintercept x+y=-1 slope intercept

x + y = - 1

asymptotes of f(x)=sqrt(x^2+8)-x asymptotes

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

(4 - 8) (49)

inflection f(x)=2x^3-3x^2+8x-1 inflection points

f (x) = 2 x^{3} - 3 x^{2} + 8 x - 1

domain of (17)/((1-4x)^2)domain

\frac{17}{( 1 - 4 x ) ^{2}}

Frequently Asked Questions (FAQ)

What is the range of-x^2+5x-7 ?
The range of-x^2+5x-7 is f(x)<=-3/4