Practice problem
Using Parent Functions to Identify Graphs
Imagine doing this long, bizarre walking exercise: You're taking a certain amount of steps each round. The general rule is, the amount of steps you're taking at any given round, equals to the sum of the steps you took in the previous 2 rounds.
You are taking 1 step for the first round. For the second round, you are taking 1 step as well. You are taking 2 steps for the third round Can you figure out how many steps you should take the fourth round? That's right--it's !
Now, if we denote the round as x and the amount of steps you took for that round as y... it looks like we have a function! Can you try graphing it?
What kind of function does this look like?
Fun Fact: This interesting sequence is actually called the Fibonacci sequence, you can read more about it here