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Popular >

range of f(x)=x^2+2x-15

Solution

range

f (x) = x^{2} + 2 x - 15

Solution

f (x) \geq - 16

+1

Interval Notation

[- 16, \infty)

Solution steps

Vertex of

x^{2} + 2 x - 15 :

Minimum

(- 1, - 16)

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}) = (- 1, - 16)

f (x) \geq - 16

Popular Examples

domain of f(x)=(2x-1)/(2x^4+x^3-6x^2)domain

f (x) = \frac{2 x - 1}{2 x ^{4} + x ^{3} - 6 x ^{2}}

asymptotes of f(x)=(-x^2-4x+5)/(4x-4)asymptotes

f (x) = \frac{- x ^{2} - 4 x + 5}{4 x - 4}

domain of f(x)= x/(3x-4)domain

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

domain of y/(y-6)+(15)/(y+6)domain

\frac{y}{y - 6} + \frac{15}{y + 6}

extreme f(x)=2x^2-3 extreme points

f (x) = 2 x^{2} - 3

Frequently Asked Questions (FAQ)

What is the range of f(x)=x^2+2x-15 ?
The range of f(x)=x^2+2x-15 is f(x)>=-16