What is the graph of the function y equals 3 x 5 to the power x?

The graph of the function ( y = 3x \cdot 5^x ) exhibits exponential growth due to the ( 5^x ) term, which increases rapidly as ( x ) becomes larger. The linear term ( 3x ) contributes to the overall shape, but the exponential component dominates for large ( x ). As ( x ) approaches negative values, the function approaches zero, since ( 5^x ) diminishes and the linear term ( 3x ) becomes negative. Overall, the graph starts near the origin, dips down for negative ( x ), and then increases steeply for positive ( x ).