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Popular >

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

Solution

range

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

Solution

f (x) \geq - \frac{5}{3}

+1

Interval Notation

[- \frac{5}{3}, \infty)

Solution steps

Vertex of

\frac{x ^{2} - 5}{3} :

Minimum

(0, - \frac{5}{3})

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 = \frac{1}{3},

Vertex

(x_{v}, y_{v}) = (0, - \frac{5}{3})

f (x) \geq - \frac{5}{3}

Popular Examples

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

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

inflection f(x)=x^5+5x^4 inflection points

f (x) = x^{5} + 5 x^{4}

line 5x-y=21 line

5 x - y = 21

domain of 4t^2+1 domain

4 t^{2} + 1

- x + 3 y

Frequently Asked Questions (FAQ)

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