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Popular Functions >

range of f(x)=5+3x^2

Solution

range

f (x) = 5 + 3 x^{2}

Solution

f (x) \geq 5

+1

Interval Notation

[5, \infty)

Solution steps

Vertex of

5 + 3 x^{2} :

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

Graph

Popular Examples

extreme f(x)=x^4+4x^3-9

slope of m=-3(-1.4)

slope of 2y+3=0

intercepts of (x-2)^2+6

domain of (5-t)^{1/6}

Frequently Asked Questions (FAQ)

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