Does there exists a function that goes through the point(s):
$$ (x_1,y_1),(x_2,y_2),(x_3,y_3),(x_4,y_4), …, (x_n,y_n)$$
for any positive integer \(n \)
Consider the region bounded by the graphs of
$$f(x) = \sqrt{4-x^2}, x = -1, x = \sqrt{3},$$
and the \(x\)-axis:
Use a basic geometric argument to determine the area of the shaded region. (Arguments involving integration are not allowed)
How many horizontal asymptotes can a function have? none, 1, 2, …, infinitely many?
Does there exist a function with infinitely many relative extrema, none of which are global?
Does there exist a function with infinitely many extrema?
Does there exist a function with infinitely many removable, essential, jump and oscillating discontinuities?
Does there exist a function with infinitely many oscillating discontinuities?
Does there exists a function that goes through the point(s):
$$ (x_1,y_1),(x_2,y_2),(x_3,y_3),(x_4,y_4), …, (x_n,y_n)$$
for any positive integer \(n \)
Consider the region bounded by the graphs of
$$f(x) = \sqrt{4-x^2}, x = -1, x = \sqrt{3},$$
and the \(x\)-axis:
Use a basic geometric argument to determine the area of the shaded region. (Arguments involving integration are not allowed)
Does there exist a function with infinitely many jump discontinuities?
Does there exist a function with infinitely many essential discontinuities?
Does there exist a function with infinitely many removable discontinuities?