Question

In the piecewise function below, what does y equal when x=3 ? Note: Pay close attention to the <, >, and ≤ signs.

{ -2x+4 x ≤ -1
y = { 1/3 x -1< x ≤ 3
{ 2x+1 x > 3

Answer 1

In the given piecewise function, y equals 0 when x = 3.

Step-by-step explanation:

In the given piecewise function, we need to find the value of y when x = 3.

It is given that:

• For x ≤ -1, y = -2x + 4
• For -1 < x ≤ 3, y = 1/3 x -1
• For x > 3, y = 2x + 1

Since x = 3 falls under the second condition (-1 < x ≤ 3), we can substitute x = 3 into the equation to find the value of y.

Substituting x = 3 into y = 1/3 x -1, we get:

y = 1/3 * 3 - 1 = 1 - 1 = 0

Therefore, when x = 3, the value of y is 0.