Question

A piecewise function has two parts. The first is y=3x+7
when x≤4
. The second is y=−2x+27
when x>4
. At what point do these two parts meet?

(1 point)

(4, 5)

(-4, -5)

(4, 19)

(5, 22)

Answer 1

Evaluate at x = 4:
- For x ≤ 4: y = 3(4) + 7 = 19.
- For x > 4 (right-hand limit): y = −2(4) + 27 = 19.

They meet at (4, 19).