What is the area f(x)=5x^2-x+1 ?

The area f(x)=5x^2-x+1 is Unbounded

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area f(x)=5x^2-x+1

area

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

Unbounded

Solution steps

y = 5 x^{2} - x + 1

Rewrite

y = 5 x^{2} - x + 1

in the standard form

4 \cdot \frac{1}{20} (y - \frac{19}{20}) = (x - \frac{1}{10})^{2}

Therefore parabola properties are:

(h, k) = (\frac{1}{10}, \frac{19}{20}), p = \frac{1}{20}

Parabola's area is always unbounded

Unbounded

28 x - 6 x^{2}

y = - 2 \cdot 1 0^{- 6} x^{2} + 5 \cdot 1 0^{- 5} x + 0.6703

y = - x^{2} + 4 x + 4

2 x^{2} - 3 x + 6 x

y = x^{2} - 4 x - 12