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Popular >

range of 2x^2-x-6

Solution

range

2 x^{2} - x - 6

Solution

f (x) \geq - \frac{49}{8}

+1

Interval Notation

[- \frac{49}{8}, \infty)

Solution steps

Vertex of

2 x^{2} - x - 6 :

Minimum

(\frac{1}{4}, - \frac{49}{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 = 2,

Vertex

(x_{v}, y_{v}) = (\frac{1}{4}, - \frac{49}{8})

f (x) \geq - \frac{49}{8}

Popular Examples

intercepts of f(x)=x^3-64x intercepts

f (x) = x^{3} - 64 x

shift f(x)=2sin(3x-2)+5 shift

f (x) = 2 sin (3 x - 2) + 5

line (9,4),(-3,3)line

(9, 4), (- 3, 3)

domain of f(x)=sqrt(x-2)domain

f (x) = x - 2

intercepts of 2x^3-10x^2-8x+40 intercepts

2 x^{3} - 10 x^{2} - 8 x + 40

Frequently Asked Questions (FAQ)

What is the range of 2x^2-x-6 ?
The range of 2x^2-x-6 is f(x)>=-49/8