Question

Plato classesWhat are the horizontal asymptote and y-intercept of function f?

Answer 1

B. asymptote: y = 0

y-intercept: (0, 1)

Step-by-step explanation

The horizontal asymptote is a constant value of y to which the function approaches when x goes to -∞ or to ∞. In this case, the function approaches the x-axis - which is y = 0, as x goes to -∞.

The y-intercept is the point where the graph intersects the y-axis, so the x-coordinate is always 0. In this case, the y-coordinate where the graph intersects the y-axis is 1,

Hence, the horizontal asymptote is y = 0 and the y-intercept is the point (0, 1).