Question

For the function defined by f(x)=
x^2 x1....
identify the function that will be used when x=0?

Answer 1

\[f(x)=\begin{cases}x^2&\text{for }x\le1\\2x+1&\text{for }x>1\end{cases}\]
Which part of the function is defined for \(x=0\)?

Answer 2

it says evaluate f(0)

Answer 3

Right, I get that, but I'm asking you which piece of the piecewise function applies to that value of \(x\)?

Answer 4

x^2 and 2x+1?

Answer 5

Let me ask you a different way: Is 0 less than 1 or greater than 1?

Answer 6

less than

Answer 7

Okay, so which part of the given function is used for all numbers less than 1?

Answer 8

x^2?

Answer 9

Right, the rule for \(f(x)\) says for all values less than 1, it takes on \(f(x)=x^2\).

So, since \(0<1\), you have \(f(0)=0^2=0\).

Answer 10

ohh, i get it

Answer 11

thanks

Answer 12

yw