What is the f(x)=log_{10}(x^2-25) ?

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f(x)=log_{10}(x^2-25)

f (x) = lo g_{10} (x^{2} - 25)

Domain : x < - 5 or x > 5

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

X Intercepts : (26, 0), (- 26, 0)

Asymptotes : Vertical x = - 5, x = 5

Extreme Points : None

Interval Notation

Domain : (- \infty, - 5) \cup (5, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

lo g_{10} (x^{2} - 25) : x < - 5 or x > 5

Range of

lo g_{10} (x^{2} - 25) : - \infty < f (x) < \infty

Axis interception points of

lo g_{10} (x^{2} - 25) :

X Intercepts

: (26, 0), (- 26, 0)

Asymptotes of

lo g_{10} (x^{2} - 25) :

Vertical

: x = - 5, x = 5

Extreme Points of

lo g_{10} (x^{2} - 25) :

None

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

f (x) = \frac{sin ( x ) - cos ( x ) + 1}{sin ( x ) + cos ( x ) - 1}

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

f (x) = \frac{6 x}{x - 36}

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