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Popular >

range of f(x)=7x^2+6

Solution

range

f (x) = 7 x^{2} + 6

Solution

f (x) \geq 6

+1

Interval Notation

[6, \infty)

Solution steps

Vertex of

7 x^{2} + 6 :

Minimum

(0, 6)

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 = 7,

Vertex

(x_{v}, y_{v}) = (0, 6)

f (x) \geq 6

Popular Examples

parity f(x)=-x^4-2x parity

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

extreme x^4-x^2 extreme points

x^{4} - x^{2}

domain of x^2-4x+3 domain

x^{2} - 4 x + 3

parity y=sec(θ)(θ-tan(θ))parity

y = sec (θ) (θ - tan (θ))

asymptotes of f(x)= 1/(x+2)-3 asymptotes

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

Frequently Asked Questions (FAQ)

What is the range of f(x)=7x^2+6 ?
The range of f(x)=7x^2+6 is f(x)>= 6