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Popular >

f(x)=2x^2+10x+9

Solution

f (x) = 2 x^{2} + 10 x + 9

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{7}{2}

X Intercepts : (\frac{- 5 + 7}{2}, 0), (- \frac{5 + 7}{2}, 0), Y Intercepts : (0, 9)

Vertex : Minimum (- \frac{5}{2}, - \frac{7}{2})

Inverse : \frac{- 5 + 2 x + 7}{2}, - \frac{2 x + 7 + 5}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{7}{2}, \infty)

Solution steps

Domain of

2 x^{2} + 10 x + 9 : - \infty < x < \infty

Range of

2 x^{2} + 10 x + 9 : f (x) \geq - \frac{7}{2}

Axis interception points of

2 x^{2} + 10 x + 9 :

X Intercepts

: (\frac{- 5 + 7}{2}, 0), (- \frac{5 + 7}{2}, 0),

Y Intercepts

: (0, 9)

Vertex of

2 x^{2} + 10 x + 9 :

Minimum

(- \frac{5}{2}, - \frac{7}{2})

Inverse of

2 x^{2} + 10 x + 9 : \frac{- 5 + 2 x + 7}{2}, - \frac{2 x + 7 + 5}{2}

Popular Examples

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

f(x)=x^3-10x+11

f (x) = x^{3} - 10 x + 11

y = (x - 2)^{4}

y = 2 + x^{2}

f(x)=e^{x^2}sin(x)

f (x) = e^{x^{2}} sin (x)

Frequently Asked Questions (FAQ)

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