The article presents a collection of useful mathematical functions and their plots that can be applied in graphics for filtering or smoothing signals. Each function is defined for input values within the range of [-1, 1] and includes variations based on different parameter values. The emphasis is on providing visual representations to aid understanding of these functions.
    
    
    
    
        
        
    
    
        
    
    
        
    
    
    
    
    
        
            
            
                
                    graphics ✓
                
            
        
            
            
                
                    functions ✓
                
            
        
            
            
                
                    mathematics ✓