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Popular >

range of f(x)=3x^2+2

Solution

range

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

Solution

f (x) \geq 2

+1

Interval Notation

[2, \infty)

Solution steps

Vertex of

3 x^{2} + 2 :

Minimum

(0, 2)

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 = 3,

Vertex

(x_{v}, y_{v}) = (0, 2)

f (x) \geq 2

Popular Examples

midpoint (5,6),(3,-2)midpoint

(5, 6), (3, - 2)

inverse of f(x)=ln(x+3)-1 inverse

f (x) = ln (x + 3) - 1

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

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

range of f(x)=(x+6)/(x-5)range

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

inverse of f(x)=((x+3)^{1/4})/9 inverse

f (x) = \frac{( x + 3 ) ^{\frac{1}{4}}}{9}

Frequently Asked Questions (FAQ)

What is the range of f(x)=3x^2+2 ?
The range of f(x)=3x^2+2 is f(x)>= 2