I'm stumped on my homework. It's Linear, Quadratic, and Exponential.
I need to figure out which function I should use. The table is: 0,1 1,1.2 2,1.44, 3,1.728 4,2.0736.
Try plugging in all of those values into a table / graph.
note that you keep multiplying by 1.2
To determine which function to use (linear, quadratic, or exponential) for a given set of data, one can examine the patterns or relationships between the x-values (input) and the corresponding y-values (output). Let's analyze the given table:
1. Linear: In a linear function, the difference between consecutive y-values should remain constant. This means that the y-values should increase or decrease by the same amount as the x-values increase or decrease.
2. Quadratic: In a quadratic function, the difference between consecutive y-values is not constant. However, the second differences between the y-values should remain constant.
3. Exponential: In an exponential function, the ratio between consecutive y-values, as the x-values increase by a constant amount, should be constant.
Now, let's look at the given table:
- When we examine the difference between consecutive y-values, we notice that it is not constant.
- Additionally, when we calculate the second differences, we find that they are not constant either.
- However, if we calculate the ratio between consecutive y-values, we get a constant value of approximately 1.2.
Based on this analysis, we can conclude that the given data follows an exponential function.