Graphing Logarithmic Equations (Function Summary Properties)?

Question

Can anyone explain how to find the Behavior at/towards + & -infinity, the domain, discontinuity, vertical asympotote, and symmetry of the logarithmic equation? :

h(x) = log (base3) (x+2) - 7

Answer 1

fist domain

the number we search the log must be positive so x>-2

domain -2 for infinity log (base3), infinite is infinite. for x=-2 we tend to x+2 =0 and log (x+2 ) = -infinite Vertical asypmtote for x=-2

the equation can be rewritten h(x) = log (base 3) (x+2/7^3)

Answer 2

the established equation of a thorough is 0.5 a parabola, grew to develop into on its aspect. that's y=sqrt(x). It will advance lots at the starting up, and then slows down, yet nevertheless coninues contained in the upward and perfect instructions. A log function is fairly such as a thorough function. This although, increaees a lot extra slowly upwards. the shape of y=log (x), compared to a thorough is neg infinity to infinity. (radical is 0 to infinity, inclusive.) A log function has a verticle asymtote at x=0. this signifies that it's going to attitude the y axis, contained in the negative route, yet by no ability contact it. Logs are utilized in calculating the flexibility of earth quakes, The Richter Scale. It has to do with powers of 10, which signifies that a 5 is 10 circumstances worse than a 4, on the Richter Scale. wish that helps!