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Popular >

range of 5x^2-3x

Solution

range

5 x^{2} - 3 x

Solution

f (x) \geq - \frac{9}{20}

+1

Interval Notation

[- \frac{9}{20}, \infty)

Solution steps

Vertex of

5 x^{2} - 3 x :

Minimum

(\frac{3}{10}, - \frac{9}{20})

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 = 5,

Vertex

(x_{v}, y_{v}) = (\frac{3}{10}, - \frac{9}{20})

f (x) \geq - \frac{9}{20}

Popular Examples

domain of (x+5)/(x^2-11)domain

\frac{x + 5}{x ^{2} - 11}

inverse of f(x)=(-3)/(x-3)inverse

f (x) = \frac{- 3}{x - 3}

line (1,0),(3,8)line

(1, 0), (3, 8)

inverse of 4/(x-2)inverse

\frac{4}{x - 2}

inverse of y=1+1/(x-1)inverse

y = 1 + \frac{1}{x - 1}

Frequently Asked Questions (FAQ)

What is the range of 5x^2-3x ?
The range of 5x^2-3x is f(x)>=-9/20