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Popular >

y=-2x^2+12x-17

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 1

X Intercepts : (\frac{6 - 2}{2}, 0), (\frac{6 + 2}{2}, 0), Y Intercepts : (0, - 17)

Vertex : Maximum (3, 1)

Inverse : - \frac{- 12 + - 8 x + 8}{4}, - \frac{- 12 - - 8 x + 8}{4}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 1]

Solution steps

Domain of

- 2 x^{2} + 12 x - 17 : - \infty < x < \infty

Range of

- 2 x^{2} + 12 x - 17 : f (x) \leq 1

Axis interception points of

- 2 x^{2} + 12 x - 17 :

X Intercepts

: (\frac{6 - 2}{2}, 0), (\frac{6 + 2}{2}, 0),

Y Intercepts

: (0, - 17)

Vertex of

- 2 x^{2} + 12 x - 17 :

Maximum

(3, 1)

Inverse of

- 2 x^{2} + 12 x - 17 : - \frac{- 12 + - 8 x + 8}{4}, - \frac{- 12 - - 8 x + 8}{4}

Popular Examples

f(x)=(x^2+x-2)/(x+3)

f (x) = \frac{x ^{2} + x - 2}{x + 3}

f(x)=x^2-11x-30

f (x) = x^{2} - 11 x - 30

f(x)={x\mid x>-2}

f (x) = {x ∣ x > - 2}

f(k)=3^{k+1}-1+3^k

f (k) = 3^{k + 1} - 1 + 3^{k}

f (x) = ln (4 + x)

Frequently Asked Questions (FAQ)

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