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Popular >

f(x)=-3x^2+4x-5

Solution

f (x) = - 3 x^{2} + 4 x - 5

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq - \frac{11}{3}

Y Intercepts : (0, - 5)

Vertex : Maximum (\frac{2}{3}, - \frac{11}{3})

Inverse : - \frac{- 2 + - 3 x - 11}{3}, \frac{- 3 x - 11 + 2}{3}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, - \frac{11}{3}]

Solution steps

Domain of

- 3 x^{2} + 4 x - 5 : - \infty < x < \infty

Range of

- 3 x^{2} + 4 x - 5 : f (x) \leq - \frac{11}{3}

Axis interception points of

- 3 x^{2} + 4 x - 5 :

Y Intercepts

: (0, - 5)

Vertex of

- 3 x^{2} + 4 x - 5 :

Maximum

(\frac{2}{3}, - \frac{11}{3})

Inverse of

- 3 x^{2} + 4 x - 5 : - \frac{- 2 + - 3 x - 11}{3}, \frac{- 3 x - 11 + 2}{3}

Popular Examples

f(x)=-3x^2+4x-9

f (x) = - 3 x^{2} + 4 x - 9

f(x)=sqrt((x-1))^2

f (x) = (x - 1)^{2}

f(x)=ln(3+4x^2)+e^9

f (x) = ln (3 + 4 x^{2}) + e^{9}

y = 3 x^{2} - 17 x - 12

f(x)=sqrt(9sin^2(x)+4cos^2(x))

f (x) = 9 sin^{2} (x) + 4 cos^{2} (x)

Frequently Asked Questions (FAQ)

What is the f(x)=-3x^2+4x-5 ?
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