Piecewise function graph with open and closed circles

An example figure from the Coordinate Grid Generator.

A coordinate grid from −6 to 6 with a two-piece piecewise function: y = x + 2 for x < 1, ending in an open circle at (1, 3), and y = −2x + 4 for x ≥ 1, starting from a closed circle at (1, 2) — A coordinate grid numbered from −6 to 6 on both axes with a piecewise function drawn in black. For x < 1 it’s the line y = x + 2, which ends in an open circle at (1, 3); for x ≥ 1 it’s the line y = −2x + 4, which starts from a closed circle at (1, 2). Use it for evaluating f(1), domain and range, or the jump at x = 1.

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Answer key

y = x + 2, x < 1: slope 1, y-intercept 2
y = −2x + 4, x ≥ 1: slope −2, y-intercept 4

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