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Popular >

f(x)=-(x^2)/3+2x+7

Solution

f (x) = - \frac{x ^{2}}{3} + 2 x + 7

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 10

X Intercepts : (3 - 30, 0), (3 + 30, 0), Y Intercepts : (0, 7)

Vertex : Maximum (3, 10)

Inverse : - \frac{- 6 + - 12 x + 120}{2}, - \frac{- 6 - - 12 x + 120}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 10]

Solution steps

Domain of

- \frac{x ^{2}}{3} + 2 x + 7 : - \infty < x < \infty

Range of

- \frac{x ^{2}}{3} + 2 x + 7 : f (x) \leq 10

Axis interception points of

- \frac{x ^{2}}{3} + 2 x + 7 :

X Intercepts

: (3 - 30, 0), (3 + 30, 0),

Y Intercepts

: (0, 7)

Vertex of

- \frac{x ^{2}}{3} + 2 x + 7 :

Maximum

(3, 10)

Inverse of

- \frac{x ^{2}}{3} + 2 x + 7 : - \frac{- 6 + - 12 x + 120}{2}, - \frac{- 6 - - 12 x + 120}{2}

Popular Examples

y=(sinh(x+1))/(tanh(x^2+x+9))

y = \frac{sinh ( x + 1 )}{tanh ( x ^{2} + x + 9 )}

f(x)=(x^2-36)/(3-2x)

f (x) = \frac{x ^{2} - 36}{3 - 2 x}

f(x)=x^5+10x^4+40x^3+80x^2+32

f (x) = x^{5} + 10 x^{4} + 40 x^{3} + 80 x^{2} + 32

y = x + 10

y = ln (x) + \frac{1}{x}

Frequently Asked Questions (FAQ)

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