You have the following function:
f(x) = -4x⁶ + 6x² - 52
about the previous function you can conclude:
· The are 6 roots for the polynomial, due its greatest exponent is 6
· The coefficient of the dominant term, which is -4, means that the function approaches to - infinity where x approaches to -infinity too.
· The y-intercept of the function is given by the constant in the polynomial, which is -52.
