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Popular >

f(x)=-6x^2+8x-1

Solution

f (x) = - 6 x^{2} + 8 x - 1

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{5}{3}

X Intercepts : (\frac{4 - 10}{6}, 0), (\frac{4 + 10}{6}, 0), Y Intercepts : (0, - 1)

Vertex : Maximum (\frac{2}{3}, \frac{5}{3})

Inverse : - \frac{- 8 + - 24 x + 40}{12}, - \frac{- 8 - - 24 x + 40}{12}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{5}{3}]

Solution steps

Domain of

- 6 x^{2} + 8 x - 1 : - \infty < x < \infty

Range of

- 6 x^{2} + 8 x - 1 : f (x) \leq \frac{5}{3}

Axis interception points of

- 6 x^{2} + 8 x - 1 :

X Intercepts

: (\frac{4 - 10}{6}, 0), (\frac{4 + 10}{6}, 0),

Y Intercepts

: (0, - 1)

Vertex of

- 6 x^{2} + 8 x - 1 :

Maximum

(\frac{2}{3}, \frac{5}{3})

Inverse of

- 6 x^{2} + 8 x - 1 : - \frac{- 8 + - 24 x + 40}{12}, - \frac{- 8 - - 24 x + 40}{12}

Popular Examples

y = 2 x^{2} - 32 x + 56

g (x) = ∣ x + 3 ∣

f(x)=((x^3)/3+1/(4x)),1<= x<= 3

f (x) = (\frac{x ^{3}}{3} + \frac{1}{4 x}), 1 \leq x \leq 3

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

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

y=(x^3-x)/(x^2-6x+5)

y = \frac{x ^{3} - x}{x ^{2} - 6 x + 5}

Frequently Asked Questions (FAQ)

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