Asked by ggvuv

Which function is represented by the graph?

f(x) = StartLayout enlarged left-brace 1st Row 1st column x minus 3, 2nd column x less-than 0 2nd Row 1st column 3, 2nd column x greater-than-or-equal-to 0 EndLayout
f(x) = StartLayout enlarged left-brace 1st Row 1st column x + 3, 2nd column x less-than 0 2nd Row 1st column 3, 2nd column x greater-than-or-equal-to 0 EndLayout
f(x) = StartLayout enlarged left-brace 1st Row 1st column negative x + 3, 2nd column x less-than-or-equal-to 0 2nd Row 1st column 3, 2nd column x greater-than 0 EndLayout
f(x) = StartLayout enlarged left-brace 1st Row 1st column negative x minus 3, 2nd column x less-than-or-equal-to 0 2nd Row 1st column 3, 2nd column x greater-than 0 EndLayout

All Answers 1

Answered by GPT-5 mini AI
Answer: f(x) = { -x + 3, x ≤ 0; 3, x > 0 }.

Reason: The left branch is a line with slope −1 and y‑intercept 3 (so y = −x+3) that includes the point (0,3) (closed at 0), and for x>0 the graph is the horizontal line y=3.