The function f(x) is defined as follows: f(x)= 3x+1 if x is less than or equal to 0 2x^2 if 0 4 if c is greater than or equal to 2 determine the following values of the function f(-3)= __ f(2)=

We have a function  defined by two rules: if , , and if , . Notice that when you are evaluating a function at a number, you are basically saying that  is equal to that number. So, when you say , you are saying that  . Since , we are going to use our first rule to evaluate our function at -3:





Similarly, when you are evaluating the function at 2, you are saying that . Since , we are going to use our second rule to evaluate our function:





We can conclude that  and .

Answer is either b or c