At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
Have you plotted the graphs? If not, i recommend doing that first. Use a graphing calculator or a online plotting utility like wolfram alpha to do so. I think this would be the best way to visually help you understand the questions being asked.
I dont know what to graph
You would graph the two equations. Do you have a graphing calculator or have you ever used wolframalpha before?
Okay that's no problem. First, i'll have you go to http://wolframalpha.com
It's going to bring up a text area similar to how google search bar looks.
When you want to graph something, you first type in graph followed by the equation(s) you want to graph. So in this case type in, graph 0.09x, (0.09)^x It will graph those two equations for you.
Okay is it B?
No. Take a look at the graphs again. Remember the y-intercept is where it crosses the y-axes. In this case they do not cross the y-axis at the same place.
Well G(x)=0.09x crosses between 0
Good observation. I'll give you one hint. It's either C or D.
C? because the p(x) crosses 0 but it isnt a vertical line
But does p(x) exceed, aka become larger than g(x)??
Idk it might because 0 would be larger then if g(x) increases it would go into negitive numbers right?
Looking at the plot from left to right, look at how it changes. See how g(x) surpasses p(x)? P(x) continues to get smaller and smaller, it continues to get closer and closer to the x-axis. Where as g(x) is a line and continues to grow up and up in the positive direction. Does that make sense/help you out?
so its d
Correct! Does it make sense why now though? That's the most important thing that i was trying to get you to see by graphing it. I know it took a while but it really is important to understand. :D :D
You're very welcome.