Evaluate (algebra 2 problem)

Question

f(x) =    2x if x ≤ 0

            x-2 if x > 0          at x=0

 

 

 

 

 

 

a) f(0)= -2

b) f(0)= 0

Answer 1

You have a function with 2 different outcomes depending upon the value of x

 

For x ≤ 0    f(x) = 2x       This is for x=0 and all values less than zero (negative numbers)

for x > 0     f(x) = x-2      This is for all x greater than zero, (all positive numbers)

 

To evaluate this at x=0 we have to see which equation the point falls under. 

That would be f(x) = 2x   so  f(0) = 2(0) = 0