SOLUTION: Graph the function​ below, and analyze it for​ domain, range,​ continuity, increasing or decreasing​ behavior, asymptotes, and end behavior. f(x)=log7(49

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Graph the function​ below, and analyze it for​ domain, range,​ continuity, increasing or decreasing​ behavior, asymptotes, and end behavior. f(x)=log7(49      Log On


   

Question 1126743: Graph the function​ below, and analyze it for​ domain, range,​ continuity, increasing or decreasing​ behavior, asymptotes, and end behavior.
f(x)=log7(49x)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
I guess 7 is the base
f%28x%29=log%287%2C%2849x%29%29
f%28x%29=log%2849x%29%2Flog%287%29
x-axis intercept:
0=log%2849x%29%2Flog%287%29
log%2849x%29=0 .....since log%2810%2C1%29=0 we have
log%2849x%29=log%2810%2C1%29=>
49x=1
x=1%2F49

+graph%28+600%2C+600%2C+-5%2C+20%2C+-5%2C+5%2C+log%287%2C49x%29%29+

domain:
(0,infinity)
.
range:
(-infinity,infinity)
axis interception point:
(1%2F49,0)
asymptotes:
vertical: x=0
extreme points: none
continuous:does not come apart at any point
increasing : in interval [1%2F49,0)