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Popular >

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

Solution

range

f (x) = 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)=sqrt(1+2x)domain

f (x) = 1 + 2 x

domain of f(x)=-1/x domain

f (x) = - \frac{1}{x}

domain of (x^3)/(\sqrt[3]{1-x^3)}domain

inflection 1/3 x^3+x^2-3x-5 inflection points

\frac{1}{3} x^{3} + x^{2} - 3 x - 5

domain of f(x)=x-1/x domain

f (x) = x - \frac{1}{x}

Frequently Asked Questions (FAQ)

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