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Popular >

y=2x^2+16x+27

Solution

y = 2 x^{2} + 16 x + 27

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 5

X Intercepts : (\frac{- 8 + 10}{2}, 0), (- \frac{8 + 10}{2}, 0), Y Intercepts : (0, 27)

Vertex : Minimum (- 4, - 5)

Inverse : \frac{- 16 + 8 x + 40}{4}, \frac{- 16 - 8 x + 40}{4}

+1

Solution steps

Domain of

2 x^{2} + 16 x + 27 : - \infty < x < \infty

Range of

2 x^{2} + 16 x + 27 : f (x) \geq - 5

Axis interception points of

2 x^{2} + 16 x + 27 :

X Intercepts

: (\frac{- 8 + 10}{2}, 0), (- \frac{8 + 10}{2}, 0),

Y Intercepts

: (0, 27)

Vertex of

2 x^{2} + 16 x + 27 :

Minimum

(- 4, - 5)

Inverse of

2 x^{2} + 16 x + 27 : \frac{- 16 + 8 x + 40}{4}, \frac{- 16 - 8 x + 40}{4}

Popular Examples

f(x)=2x^2-5x^2+3-15

f (x) = 2 x^{2} - 5 x^{2} + 3 - 15

f(x)=(x^5+1)^{1/2}

f (x) = (x^{5} + 1)^{\frac{1}{2}}

f(x)=((x-10))/((100x+1000))

f (x) = \frac{( x - 10 )}{( 100 x + 1000 )}

f(x)=(x(1+ln|x|))/((1-x))

f (x) = \frac{x ( 1 + ln ∣ x ∣ )}{( 1 - x )}

f(m)=m^7+8m^5+4m^6+6m-3m^2-11

f (m) = m^{7} + 8 m^{5} + 4 m^{6} + 6 m - 3 m^{2} - 11

Frequently Asked Questions (FAQ)

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