Final answer:
The function graphed is y = -5x^6. This is a polynomial function with a negative leading coefficient. The graph will have a downward concave shape.
Step-by-step explanation:
The function graphed is y = -5x^6. This is a polynomial function with a negative leading coefficient. A polynomial function is a function that is defined by a polynomial, which is an expression consisting of variables and coefficients.
The exponent of x in this function is 6, which means the graph will have six zeros and may have different shapes depending on the value of the coefficient. In this case, the coefficient is -5, which means the function will have a downward concave shape.
For example, if we substitute different values of x into the function, we can find the corresponding values of y. When x is 1, y will be -5. When x is 2, y will be -80. These points can be plotted on a graph to get the shape of the function.