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Popular >

y=2x^2+x-40

Solution

y = 2 x^{2} + x - 40

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{321}{8}

X Intercepts : (\frac{- 1 + 321}{4}, 0), (\frac{- 1 - 321}{4}, 0), Y Intercepts : (0, - 40)

Vertex : Minimum (- \frac{1}{4}, - \frac{321}{8})

Inverse : \frac{- 1 + 8 x + 321}{4}, \frac{- 1 - 8 x + 321}{4}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{321}{8}, \infty)

Solution steps

Domain of

2 x^{2} + x - 40 : - \infty < x < \infty

Range of

2 x^{2} + x - 40 : f (x) \geq - \frac{321}{8}

Axis interception points of

2 x^{2} + x - 40 :

X Intercepts

: (\frac{- 1 + 321}{4}, 0), (\frac{- 1 - 321}{4}, 0),

Y Intercepts

: (0, - 40)

Vertex of

2 x^{2} + x - 40 :

Minimum

(- \frac{1}{4}, - \frac{321}{8})

Inverse of

2 x^{2} + x - 40 : \frac{- 1 + 8 x + 321}{4}, \frac{- 1 - 8 x + 321}{4}

Popular Examples

f(x)=2x^2-7x+10

f (x) = 2 x^{2} - 7 x + 10

f(x)=1+sec^2(x)+sin^2(x)

f (x) = 1 + sec^{2} (x) + sin^{2} (x)

f(x)=(6x)/(7-x)

f (x) = \frac{6 x}{7 - x}

f(n)=7n^2+607n-61800

f (n) = 7 n^{2} + 607 n - 61800

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

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

Frequently Asked Questions (FAQ)

What is the y=2x^2+x-40 ?
The y=2x^2+x-40 is