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Popular Functions >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{101}{20}

X Intercepts : (\frac{- 1 + 101}{10}, 0), (\frac{- 1 - 101}{10}, 0), Y Intercepts : (0, - 5)

Vertex : Minimum (- \frac{1}{10}, - \frac{101}{20})

Inverse : \frac{- 1 + 20 x + 101}{10}, \frac{- 1 - 20 x + 101}{10}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{101}{20}, \infty)

Solution steps

Domain of

5 x^{2} + x - 5 : - \infty < x < \infty

Range of

5 x^{2} + x - 5 : f (x) \geq - \frac{101}{20}

Axis interception points of

5 x^{2} + x - 5 :

X Intercepts

: (\frac{- 1 + 101}{10}, 0), (\frac{- 1 - 101}{10}, 0),

Y Intercepts

: (0, - 5)

Vertex of

5 x^{2} + x - 5 :

Minimum

(- \frac{1}{10}, - \frac{101}{20})

Inverse of

5 x^{2} + x - 5 : \frac{- 1 + 20 x + 101}{10}, \frac{- 1 - 20 x + 101}{10}

Graph

Popular Examples

f(x)=-1.71x^3+39.67x^2-271.92x+1275.85

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

y=(x^2)/((ln(x)))

f(x)= x/(log_{2)(x)}

Frequently Asked Questions (FAQ)

What is the f(x)=5x^2+x-5 ?
The f(x)=5x^2+x-5 is