Question

Which is the graph of the piecewise function f(x)?

f(x) = StartLayout Enlarged left-brace 1st row 1st column negative x + 1, 2nd column x less-than-or-equal-to 0 2nd row 1st column x + 1, 2nd column x greater-than 0 EndLayout

Answer 1

the 4 graph

Explanation:

Answer 2

None of the above graph gives the function.

Explanation:

The function is given by

f(x) = - x + 1 for, x ≤ 0 .......... (1) and

f(x) = x + 1 for, x > 0 ............. (2)

Now, from this definition we can write for x = 0, the value of f(x) will be governed by the equation (1) and f(0) = - 0 + 1 = 1

So, (0,1) is a point on the graph and for x < 0 the f(x) will have negative slope and for x > 0, the f(x) will have positive slope.

So, none of the above graphs gives the function. (Answer)