a) The function F(x) is a quadratic function that opens upwards, with a y-intercept at 3 and a vertical stretch of 8.
b) The function F(x) is a combination of a rational function and a sine function. It will have vertical and horizontal asymptotes, and oscillations due to the sine function.
c) The function F(x) is a polynomial function that is the product of x^4 and cos(x). It will have multiple relative extrema and points of inflection.
d) The function F(x) is a quartic function that has been shifted vertically and stretched horizontally. It will have a local minimum at x = 6/5 and will vary based on the value of x.
a) The function F(x) is a quadratic function that opens upwards, with a y-intercept at 3 and a vertical stretch of 8.
b) The function F(x) is a combination of a rational function and a sine function. It will have vertical and horizontal asymptotes, and oscillations due to the sine function.
c) The function F(x) is a polynomial function that is the product of x^4 and cos(x). It will have multiple relative extrema and points of inflection.
d) The function F(x) is a quartic function that has been shifted vertically and stretched horizontally. It will have a local minimum at x = 6/5 and will vary based on the value of x.