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Popular >

range of 6x^2-15x

Solution

range

6 x^{2} - 15 x

Solution

f (x) \geq - \frac{75}{8}

+1

Interval Notation

[- \frac{75}{8}, \infty)

Solution steps

Vertex of

6 x^{2} - 15 x :

Minimum

(\frac{5}{4}, - \frac{75}{8})

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 = 6,

Vertex

(x_{v}, y_{v}) = (\frac{5}{4}, - \frac{75}{8})

f (x) \geq - \frac{75}{8}

Popular Examples

extreme f(x)=x(x^2-6x+9)extreme points

f (x) = x (x^{2} - 6 x + 9)

parity y=(1-x)/(cos(x))parity

y = \frac{1 - x}{cos ( x )}

amplitude of-sin(2x)amplitude

- sin (2 x)

f(x)=log_{2}(x)

f (x) = lo g_{2} (x)

asymptotes of f(x)=(x^3)/(x^4-1)asymptotes

f (x) = \frac{x ^{3}}{x ^{4} - 1}

Frequently Asked Questions (FAQ)

What is the range of 6x^2-15x ?
The range of 6x^2-15x is f(x)>=-75/8