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Popular >

range of 3x^2+5

Solution

range

3 x^{2} + 5

Solution

f (x) \geq 5

+1

Interval Notation

[5, \infty)

Solution steps

Vertex of

3 x^{2} + 5 :

Minimum

(0, 5)

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, 5)

f (x) \geq 5

Popular Examples

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

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

inverse of x-7 inverse

x - 7

y = x^{2} - x - 2

critical f(x)=(3x+1)/(3x)critical points

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

inverse of ln(397.5)inverse

ln (397.5)

Frequently Asked Questions (FAQ)

What is the range of 3x^2+5 ?
The range of 3x^2+5 is f(x)>= 5