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Popular >

range of f(x)=6x^2+7x-24

Solution

range

f (x) = 6 x^{2} + 7 x - 24

Solution

f (x) \geq - \frac{625}{24}

+1

Interval Notation

[- \frac{625}{24}, \infty)

Solution steps

Vertex of

6 x^{2} + 7 x - 24 :

Minimum

(- \frac{7}{12}, - \frac{625}{24})

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{7}{12}, - \frac{625}{24})

f (x) \geq - \frac{625}{24}

Popular Examples

inflection-(sin(x))/(cos(x))inflection points

- \frac{sin ( x )}{cos ( x )}

parity f(x)=x^2-x parity

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

inverse of f(x)=x^2-3,x<= 0 inverse

f (x) = x^{2} - 3, x \leq 0

inverse of f(x)=-4.9(t+3)^2+45.8 inverse

f (x) = - 4.9 (t + 3)^{2} + 45.8

domain of f(x)= 3/(sqrt(x-8))domain

f (x) = \frac{3}{x - 8}

Frequently Asked Questions (FAQ)

What is the range of f(x)=6x^2+7x-24 ?
The range of f(x)=6x^2+7x-24 is f(x)>=-625/24