# Algebra

Graph y=5^x and y=log_5 x on a sheet of paper using the same set of axes. Use the graph to describe the domain and range of each function. Then identify the y-intercept of each function and any asymptotes of each function.
So far I have:
Y=5^x :
D: ??
R: y>0
Y-intercept: 1
Asymptotes: y=0
__________________________________
Y=log_5 x :
D:??
R:??
Y-intercept: none
Asymptotes: x=0

can anyone tell me if this is correct? Or help me find out how to do the other parts that I was not able to find out? Thank you so much!!

1. the domain of all exponentials is (-∞,∞)
and the range is (0,∞)

For logs, they are reversed, since it is the inverse function.

exponentials all pass through (0,1)
logs all pass through (1,0)

posted by Steve
2. So for the first one:
Domain: (-∞,∞)
Range: (0,∞)
Y-intercept: 1

and for the second one:
Domain: (∞,-∞)
Range: (∞,0)
Y-intercept: -1

this is what I understood from your response?

posted by Mitch n' Joey
3. No, for logs, you have
Domain: (0,∞)
Range: (-∞,∞)
x-intercept: 1

Take a look at the graphs, fer pete's sake!

posted by Steve

## Similar Questions

1. ### math

On grid paper, draw the grahp of y=4x and the graph of y=-4x on the same set of axes. How are the graphs alike? How are they different Graph them. I suspect one goes up, and one down.
2. ### precalculus

solve logarithmic equation in exact form only. show work. log_5(x-3)+ log_5(x-6)-log_5(x+1)=2
3. ### Trigonometry (Logarithmic Function)

If log_5(9) = 1.365 and log_5(2)=0.431, then what is log_5(24)? How to find the solution for this one?
4. ### math

A typical graph sheet is 18cm by 24cm. The smallest square on the sheet has an area of 1mm^2. How many of these 1mm^2 squares are on the sheet of graph paper?
5. ### science/math

I have to make this density graph on a standard sheet of graph paper of this area outside. Each side of the area is a meter (in real life). What would be an good scale to use for my graph on graph paper?
6. ### Math

in the center of the first sheep of graph paper, draw a figure with straight sides that will fit in a 15 by 20 block (the figure can be hard or easy so I was thinking of going with a simple rectangle). On the second sheet of graph
7. ### maths

what is the volume of box if volume of cylinder is 48.125 cubic cm, which formed by rolling a rectangular paper sheet along the length of the paper. if a cuboidal box (open lid) made from the same sheet of paper by cutting out the
8. ### maths --plse help me..

THE VOLUME OF A CYLINDER IS 48.125cm cube , WHICH IS FORMED BY ROLLING A RECTANGULAR PAPER SHEET ALONG THE LENTH OF THE PAPER . IF A CUBOIDAL BOX ( WITHOUT ANY LID i.e , OPEN AT THE TOP ) IS MADE FROM THE SAME SHEET OF PAPER BY
9. ### math

find derivative of f(x)= log_5((x-4)^3) + e^((x-1)(x+1)) Log_5 means log base 5
10. ### ICA Honors

1/log_2(X) + 1/log_3(x) + 1/log_4(x) +1/log_5(x) =log_5(625)

More Similar Questions