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Popular >

range of 3-x^2

Solution

range

3 - x^{2}

Solution

f (x) \leq 3

+1

Solution steps

Vertex of

3 - x^{2} :

Maximum

(0, 3)

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, 3)

f (x) \leq 3

Popular Examples

perpendicular y= 5/7 x-4 perpendicular

y = \frac{5}{7} x - 4

critical (x^2-2)^3 critical points

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

parity f(x)=2x^3+3x^2+4x+3 parity

f (x) = 2 x^{3} + 3 x^{2} + 4 x + 3

critical f(x)=x^{3/4}-2x^{1/4}critical points

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

asymptotes of f(x)=((x^2+1)/(2x))/x asymptotes

f (x) = \frac{\frac{x ^{2} + 1}{2 x}}{x}

Frequently Asked Questions (FAQ)

What is the range of 3-x^2 ?
The range of 3-x^2 is f(x)<= 3