What is the y=(log_{3}(x))^2-log_{3}(x^4)-3 ?

The y=(log_{3}(x))^2-log_{3}(x^4)-3 is

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y=(log_{3}(x))^2-log_{3}(x^4)-3

y = (lo g_{3} (x))^{2} - lo g_{3} (x^{4}) - 3

Domain : x > 0

Range : f (x) \geq - 7

X Intercepts : (3^{2 + 7}, 0), (3^{2 - 7}, 0)

Asymptotes : Vertical x = 0

Extreme Points : Minimum (9, - 7)

Interval Notation

Domain : (0, \infty)

Range : [- 7, \infty)

Solution steps

Domain of

lo g_{3} (x)^{2} - lo g_{3} (x^{4}) - 3 : x > 0

Range of

lo g_{3} (x)^{2} - lo g_{3} (x^{4}) - 3 : f (x) \geq - 7

Axis interception points of

lo g_{3} (x)^{2} - lo g_{3} (x^{4}) - 3 :

X Intercepts

: (3^{2 + 7}, 0), (3^{2 - 7}, 0)

Asymptotes of

lo g_{3} (x)^{2} - lo g_{3} (x^{4}) - 3 :

Vertical

: x = 0

Extreme Points of

lo g_{3} (x)^{2} - lo g_{3} (x^{4}) - 3 :

Minimum

(9, - 7)

What is the y=(log_{3}(x))^2-log_{3}(x^4)-3 ?
The y=(log_{3}(x))^2-log_{3}(x^4)-3 is