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Popular >

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

Solution

range

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

Solution

f (x) \geq - \frac{49}{12}

+1

Interval Notation

[- \frac{49}{12}, \infty)

Solution steps

Vertex of

3 x^{2} + 5 x - 2 :

Minimum

(- \frac{5}{6}, - \frac{49}{12})

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}) = (- \frac{5}{6}, - \frac{49}{12})

f (x) \geq - \frac{49}{12}

Popular Examples

slope of y=-1.75x+19 slope

y = - 1.75 x + 19

domain of f(x)=6x domain

f (x) = 6 x

extreme f(x)=-0.3t^2+2.4t+98.6 extreme points

f (x) = - 0.3 t^{2} + 2.4 t + 98.6

shift 3sin(6x-pi)shift

3 sin (6 x - π)

asymptotes of (-3x+1)/(x-5)asymptotes

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

Frequently Asked Questions (FAQ)

What is the range of f(x)=3x^2+5x-2 ?
The range of f(x)=3x^2+5x-2 is f(x)>=-49/12