Question

Given the piecewise defined function: f(x)={(2x-3 if x<=3),(-x+5 if x>3):}

Answer 1

Certainly! The given piecewise defined function is represented as follows:

f(x) =

{

2x - 3 if x <= 3,

-x + 5 if x > 3

}

This function has two different expressions based on the value of x.

1. When x is less than or equal to 3 (x <= 3):

f(x) = 2x - 3

2. When x is greater than 3 (x > 3):

f(x) = -x + 5

So, depending on the value of x, you would use the appropriate expression to calculate f(x).

Explanation: