Question

For the function defined by f(x)={x^2, x≤1} evaulate f(0)

Answer 1

the function looks like this

Answer 2

because 0 < 1 so chose f(x) = x^2
therefore the value of f(0) = 0^2 = 0

Answer 3

@RadEn actually the function is the one I attached.

Answer 4

yes, i used that

Answer 5

How would you graph this?

Answer 6

there are 2 choices which we have to choice one of them, depends for interval x is given. look at each interval for x's in defined of that function. if x < or equal 1, so select the 1st one. if x > 1 select the 2nd one.

while the question asking f(0), the value of f(x) when x = 0. (notices that 0 < 1, right ?)

because x < 1, so we select the 1st one as the function of f(x), it is f(x) = x^2
therefore f(0) = 0^2 = 0

hopes make sense