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Popular >

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

Solution

range

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

Solution

f (x) \geq - 8

+1

Interval Notation

[- 8, \infty)

Solution steps

Vertex of

x^{2} - 8 :

Minimum

(0, - 8)

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}) = (0, - 8)

f (x) \geq - 8

Popular Examples

parity (sin(t)+tcos(t))/(cos(t)-tsin(t))parity

\frac{sin ( t ) + t cos ( t )}{cos ( t ) - t sin ( t )}

range of f(x)=x^4-4x^2 range

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

shift 2cos(6x+pi/2)shift

2 cos (6 x + \frac{π}{2})

domain of f(x)=(5-2x)/(6x+3)domain

f (x) = \frac{5 - 2 x}{6 x + 3}

inverse of f(x)=(x-2)^3-1 inverse

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

Frequently Asked Questions (FAQ)

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