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Popular >

y=-16x^2+200x+82

Solution

y = - 16 x^{2} + 200 x + 82

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 707

X Intercepts : (- \frac{- 25 + 707}{4}, 0), (\frac{25 + 707}{4}, 0), Y Intercepts : (0, 82)

Vertex : Maximum (\frac{25}{4}, 707)

Inverse : - \frac{- 25 + - x + 707}{4}, \frac{- x + 707 + 25}{4}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 707]

Solution steps

Domain of

- 16 x^{2} + 200 x + 82 : - \infty < x < \infty

Range of

- 16 x^{2} + 200 x + 82 : f (x) \leq 707

Axis interception points of

- 16 x^{2} + 200 x + 82 :

X Intercepts

: (- \frac{- 25 + 707}{4}, 0), (\frac{25 + 707}{4}, 0),

Y Intercepts

: (0, 82)

Vertex of

- 16 x^{2} + 200 x + 82 :

Maximum

(\frac{25}{4}, 707)

Inverse of

- 16 x^{2} + 200 x + 82 : - \frac{- 25 + - x + 707}{4}, \frac{- x + 707 + 25}{4}

Popular Examples

y = 5 (x + 11)^{2} - 4

f (y) = 5 y - 2

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

f(x)= 6/pi x+sin(x-pi/2)

f (x) = \frac{6}{π} x + sin (x - \frac{π}{2})

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

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

Frequently Asked Questions (FAQ)

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