SOLUTION: 1. Complete the table below (use fractions - not decimals!) and use it to graph the function f(x) = 3x. "Note the x on the three is an exponent the x goes as an exponent on the 3

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: 1. Complete the table below (use fractions - not decimals!) and use it to graph the function f(x) = 3x. "Note the x on the three is an exponent the x goes as an exponent on the 3      Log On


   

Question 1198009: 1. Complete the table below (use fractions - not decimals!) and use it to graph the function f(x) = 3x. "Note the x on the three is an exponent the x goes as an exponent on the 3. I just did not know how to put the x as the exponent on the 3 in my question here.
.

X Y
-2
-1
0
1
2







Domain _______________


Range ________________

coordinates of the y-intercept ____________

equation of the asymptote _____________





2. Using your knowledge of inverses, prepare a table of values for the inverse of the function in
problem #1.
Graph the inverse on the same coordinate system as the function.
Label each graph appropriately as f(x) or f-1(X).

Answer the following for the inverse function:

The equation of the inverse is f-1
(x) = ______________

X Y



Domain _______________

Range ________________

coordinates of the x-intercept ____________

equation of the asymptote ____________
Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
We don't need underscores.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
1. Complete the table below (use fractions - not decimals!) and use it to graph the function
f%28x%29+=+3%5Ex
x|y
-2|1%2F9 .....f%28-2%29+=+3%5E%28-2%29=1%2F3%5E2=1%2F9
-1|1%2F3 .....f%28-1%29+=+3%5E%28-1%29=1%2F3%5E1=1%2F3
0|1 .....f%280%29+=+3%5E0=1
1|3 .....f%281%29+=+3%5E1=3
2|9 .....f%282%29+=+3%5E2=9

Domain ___R (all real numbers)

Range _____{ f%28x%29+ element R :f%28x%29%3E0 } (all positive real numbers)
coordinates of the y-intercept __f%28x%29+=3

equation of the asymptote ____Horizontal asymptote f%28x%29+=0
means 3%5Ex-%3E0 as x-%3E-infinity




2. Using your knowledge of inverses, prepare a table of values for the inverse of the function in
problem #1.
Graph the inverse on the same coordinate system as the function.
Label each graph appropriately as f%28x%29 or f%5E-1%28x%29.
Answer the following for the inverse function:
The equation of the inverse is f%5E-1%28x%29 = ______________
recall that f%28x%29+=+y, so
y=+3%5Ex.......swap variables
x=+3%5Ey................solve for y
log%28x%29=+log%283%5Ey%29
log%28x%29=+y%2Alog%283%29
y=log%28x%29%2Flog%283%29
your inverse is f%5E-1%28x%29=log%28x%29%2Flog%283%29
to make a table of values for the inverse of the function just switch the values of variables
x |y
1%2F9|-2
1%2F3|-1
1|0
3|1
9|2
Domain ____
will be what was a range of original function; { x element R :x%3E0 }
Range _______a domain of original function;R (all real numbers)
coordinates of the x-intercept _______x=1
equation of the asymptote _____Vertical: x=0