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Popular >

range of 3t^2+12t

Solution

range

3 t^{2} + 12 t

Solution

f (t) \geq - 12

+1

Interval Notation

[- 12, \infty)

Solution steps

Vertex of

3 t^{2} + 12 t :

Minimum

(- 2, - 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}) = (- 2, - 12)

f (t) \geq - 12

Popular Examples

inverse of f(x)=3x^2-4 inverse

f (x) = 3 x^{2} - 4

inverse of f(x)=(3x-4)/2 inverse

f (x) = \frac{3 x - 4}{2}

domain of f(x)=(x+3)^{3/2}domain

f (x) = (x + 3)^{\frac{3}{2}}

parity cos(2x)parity

cos (2 x)

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

f (x) = \frac{2}{x}

Frequently Asked Questions (FAQ)

What is the range of 3t^2+12t ?
The range of 3t^2+12t is f(t)>=-12