Question

With exponential functions of the form y=axb⁻ˣ, as x goes to negative infinity, the y-values tend towards ________.

a) +[infinity]+[infinity]
b) −[infinity]−[infinity]
c) 0
d) 1

Answer 1

With exponential functions of the form y=axb⁻ˣ, as x goes to negative infinity, the y-values tend towards zero.

Step-by-step explanation:

With exponential functions of the form y=axb⁻ˣ, as x goes to negative infinity, the y-values tend towards c) 0.

To understand this, let's look at an example. Let's consider the function y = 2⁻ˣ. As x becomes more negative, the exponent -x becomes larger and larger in magnitude, approaching infinity. When the exponent approaches infinity, the base 2 raised to the power of a large negative number becomes very small, approaching zero. Therefore, the y-values tend towards zero as x goes to negative infinity.