Question

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

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Answer 1

Take a look at f(x) = -x + 1. Its slope is negative and its y-intercept is +1.

Right away, we can eliminate the 3rd and 4th graphs, because they show positive slopes for x≤1.

Take another look: f(x) = -x + 1. When x = 0, y = 1. Thus, the y-intercept is (0,1).

The first graph shows this intercept correctly; the second does not. So the correct answe is "the first graph."

Answer 2

The first Graph

Explanation:

We have a piecewise function that consist of two lines, in the x<=0 we have the line -x+1, a line with negative slope and y intercept +1 that discards options 3 and 4

On the side x>0 we have x+1, a line with positive slope and y intercept +1 this rules outs option b with and x intercept of x=1. Option A is correct