What is the f(x)=log_{3}(x^2-x) ?

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f(x)=log_{3}(x^2-x)

f (x) = lo g_{3} (x^{2} - x)

Domain : x < 0 or x > 1

Range : - \infty < f (x) < \infty

X Intercepts : (\frac{1 + 5}{2}, 0), (\frac{1 - 5}{2}, 0)

Asymptotes : Vertical x = 0, x = 1

Extreme Points : None

Interval Notation

Domain : (- \infty, 0) \cup (1, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

lo g_{3} (x^{2} - x) : x < 0 or x > 1

Range of

lo g_{3} (x^{2} - x) : - \infty < f (x) < \infty

Axis interception points of

lo g_{3} (x^{2} - x) :

X Intercepts

: (\frac{1 + 5}{2}, 0), (\frac{1 - 5}{2}, 0)

Asymptotes of

lo g_{3} (x^{2} - x) :

Vertical

: x = 0, x = 1

Extreme Points of

lo g_{3} (x^{2} - x) :

None

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

f (x) = 6 x^{2} + x - 2

f (x) = x^{3} + 2 x^{2} + 3 x - 1

f (x) = x^{4} - 173 x^{3} - 16 x^{2} - 7 x - 15

f (t) = - 4.9 t^{2} + 328 t + 395