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Popular >

range of 5x^2+10x

Solution

range

5 x^{2} + 10 x

Solution

f (x) \geq - 5

+1

Interval Notation

Solution steps

Vertex of

5 x^{2} + 10 x :

Minimum

(- 1, - 5)

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}) = (- 1, - 5)

f (x) \geq - 5

Graph

Popular Examples

intercepts of y=3x-6 intercepts

y = 3 x - 6

domain of f(x)= 1/4 x+3 domain

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

distance (3,3),(7,3)distance

(3, 3), (7, 3)

critical f(x)=sin^2(x)+cos(x)critical points

f (x) = sin^{2} (x) + cos (x)

intercepts of-x^3+12x-16 intercepts

- x^{3} + 12 x - 16

Frequently Asked Questions (FAQ)

What is the range of 5x^2+10x ?
The range of 5x^2+10x is f(x)>=-5