Question

For the function y=0.5⋅6x, as x approaches negative infinity, what do the y-values approach?

Answer 1

Answer:

-∞

As x approaches -∞, y=f(x) approaches -∞

Step-by-step explanation:

Given the function;

y = 0.5*6x

We want to determine the limit of y as x tends to minus infinity.

lim x→-∞ f(x) = lim x→-∞ y

y = f(x)

lim x→-∞ f(x) = 0.5*6(-∞)

lim x→-∞ f(x) = 3(-∞)

lim x→-∞ f(x) = -3∞ = -∞

As x tends to -∞, y=f(x) approach -3∞

But, three times minus infinity is still equal to minus infinity.

-3∞ = -∞

Therefore, As x approaches -∞, y=f(x) approach -∞