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Popular >

f(x)=3x^2-2x-9

Solution

f (x) = 3 x^{2} - 2 x - 9

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{28}{3}

X Intercepts : (\frac{1 + 2 7}{3}, 0), (\frac{1 - 2 7}{3}, 0), Y Intercepts : (0, - 9)

Vertex : Minimum (\frac{1}{3}, - \frac{28}{3})

Inverse : \frac{1 + 3 x + 28}{3}, \frac{1 - 3 x + 28}{3}

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

3 x^{2} - 2 x - 9 : - \infty < x < \infty

Range of

3 x^{2} - 2 x - 9 : f (x) \geq - \frac{28}{3}

Axis interception points of

3 x^{2} - 2 x - 9 :

X Intercepts

: (\frac{1 + 2 7}{3}, 0), (\frac{1 - 2 7}{3}, 0),

Y Intercepts

: (0, - 9)

Vertex of

3 x^{2} - 2 x - 9 :

Minimum

(\frac{1}{3}, - \frac{28}{3})

Inverse of

3 x^{2} - 2 x - 9 : \frac{1 + 3 x + 28}{3}, \frac{1 - 3 x + 28}{3}

Graph

Popular Examples

f(x)=x^4+11x^3+34x^2+15x-2

f (x) = x^{4} + 11 x^{3} + 34 x^{2} + 15 x - 2

y = 10 x - 30

p(x)=4x^5-8x^4-61x^3+146x^2+15x-36

p (x) = 4 x^{5} - 8 x^{4} - 61 x^{3} + 146 x^{2} + 15 x - 36

f(x)=4-x^2,-3<= x<= 1

f (x) = 4 - x^{2}, - 3 \leq x \leq 1

y=[ln(x^3+4)]^2

y = [ln (x^{3} + 4)]^{2}

Frequently Asked Questions (FAQ)

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