Given x^5x5 if x<0 and 2x + 1 if x >= 0, how do you find f(0)?

1 Answer
Aug 7, 2016

=>f(0)=0+1 = 1f(0)=0+1=1

Explanation:

I think they call this a 'stepwise solution'

f(0)f(0) means that you assign the value of 0 to xx

Condition 1: if x<0x<0 then you apply the calculation x^5x5

Condition 2: if x>=0x0 then you apply the calculation 2x+12x+1
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We are given the value of xx as 0

Condition 1 is that xx must be less than 0 so as x=0x=0 this equation does not apply.

Condition 2 is that xx can be 0 or grater than 0. So as x=0x=0 this equation is the one we use.

=>f(0)->2x+1f(0)2x+1

=>f(0)=2(0)+1f(0)=2(0)+1

=>f(0)=0+1 = 1f(0)=0+1=1