Question

What do all members of the family of linear functions \(f\left( x \right) = c - x\)have in common? Sketch several members of the family.

Short answer

Here,\(y - {\rm{intercept = c}}\).

Step-by-step solution

Given data 

The given linear function is \(f\left( x \right) = c - x\).

Solution

All members of family of the linear functions\(f\left( x \right) = c - x\)are the straight lines with the slope\(\left( { - 1} \right)\)and have\(y - {\rm{intercept = c}}\).

\(\)\(\) \(\)

The graph is given below

The graph is drawn as: