The graph of f(x)=100 (0.7) x is one that decreases or stays constant which is the graph of f(x) = 100(0.7)x? This question has been asked by many students in math classes and it is not always easy to answer. The first thing you should do when solving this type of problem is to take a look at which variable goes on the y-axis and which on the x-axis, which will tell you which side to read from. In this case, we have a function with an input for “x” which means we need to focus on reading from left to right. Once we know this, finding the answer becomes much easier!
When reading from left to right, we see that “x” starts at a value of 100 which is the max it can be. It then goes through the function which gives us a new number which decreases as time passes so eventually x will end up being 0 (zero). Knowing this tells us that our graph for f(x) = 100(0.70)x looks like:
The line on the y-axis represents what happens when you input an ‘x’ variable into the equation and follows its progression until it reaches zero, which is why there are smaller numbers towards the bottom and bigger numbers near the top. This type of graph falls under two main categories; constant or decreasing. The fact that this one is decreasing tells us that our graph is a decreasing one which means it will eventually reach 0.
The graph of f(x) = 100(0.70)x looks like:
which is the graph of f(x) = 100 (0.70) x?
what type of line does this make?
which falls under two main categories; constant or decreasing?
which category does this fall into and why do you think so?
where on the y axis would I find numbers smaller than those at the top to show my knowledge about graphs in general. What are these called? Why might they be there even though they’re not part of the function’s equation, but they are still needed for the graph?
The graph of f(x) = 100 (0.70) x is one that decreases or stays constant which falls under two main categories; constant or decreasing. The fact that this one is decreasing tells us that our graph is a decreasing one which means it will eventually reach 0.
This type of line does not have any number in the equation so it would fall into the second category and be called an increasing linear function because you can see on the bottom right corner, there’s always going to be room to put more numbers as time goes by which means it increases with each step taken
Numbers smaller than those at the top could represent graphs from other functions which do not have equations but they fall into the same categories which are constant and decreasing.
This graph falls under two main categories which are constants or decreasing lines which means it will eventually reach 0, an increasing linear function because you can see on the bottom right corner that there is always going to be room for more numbers as time goes by which mean’s it increases with each step taken, and other graphs that don’t have equations but they fall into these same categories which are constantly or continually. Constant graphs then decrease while a decreasing line may go towards zero
An example of such a graph would be f(x) = 100 (0.70)(x). This one happens to be in the category of variables which decreases so at some point between x=p-infinity and x=p+infinity which is the entire range of numbers, there will be a point where it reaches 0.
Conclusion:
Did you know that in order to answer a question like this, it is important first to identify which variable goes on the y-axis and which one goes on the x-axis? This will tell you whether or not to read from left to right. Once we know that, finding an answer becomes much easier!
