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Popular >

range of f(x)=-3x^2-24x+11

Solution

range

f (x) = - 3 x^{2} - 24 x + 11

Solution

f (x) \leq 59

+1

Interval Notation

(- \infty, 59]

Solution steps

Vertex of

- 3 x^{2} - 24 x + 11 :

Maximum

(- 4, 59)

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}) = (- 4, 59)

f (x) \leq 59

Popular Examples

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critical (7e^x)/(7+e^x)critical points

\frac{7 e ^{x}}{7 + e ^{x}}

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f (x) = cot (x)

intercepts of (4x^2-4x)/(x^2+x-12)intercepts

\frac{4 x ^{2} - 4 x}{x ^{2} + x - 12}

Frequently Asked Questions (FAQ)

What is the range of f(x)=-3x^2-24x+11 ?
The range of f(x)=-3x^2-24x+11 is f(x)<= 59