They are both odd functions. (True)
They have a relative maximum at the same x-value. (True)
They have the same y-intercept. (False)
They have one x-intercept in common. (False)
f(x) is continuous and g(x) is discontinuous. (False)
Are they both odd functions? Yes, both f(x) and g(x) are odd functions. This means that if we reflect their graphs across the origin, we will get the same graphs back.
Do they have a relative maximum at the same x-value? Yes, both f(x) and g(x) have a relative maximum at x = 0.
Do they have the same y-intercept? No, f(x) and g(x) do not have the same y-intercept. The y-intercept of f(x) is 1, while the y-intercept of g(x) is 0.
Do they have one x-intercept in common? No, f(x) and g(x) do not have any x-intercepts in common.
Is f(x) continuous and g(x) discontinuous? No, both f(x) and g(x) are continuous functions. This means that their graphs can be drawn without lifting the pencil from the paper.