Answer:
The power function and the root function
Step-by-step explanation:
Let's consider each function in turn.
Power function
y = xⁿ
For every value of x, there is a corresponding value of y.
There are <em>no asymptotes.</em>
Reciprocal
y = 1/x
The <em>y-axis is an asymptote</em>, because x cannot equal 0. y ⟶ ∞ as x ⟶ 0₊ and y ⟶ -∞ as x ⟶ 0₋
Similarly, the <em>x-axis is an asymptote,</em> because there is no finite value of x for which y = 0.
Exponential

The <em>x-axis is an asymptote</em>, because y can never be negativeand y ⟶ 0
as x ⟶ -∞.
Logarithmic

The <em>y-axis is an asymptote</em>, because x cannot be negative and logx ⟶ -∞ as x ⟶ 0.
Root
y = \sqrt[5]{x}
There can be no negative value of x, but there is a value of y for every positive value of x.
Thus, there is no asymptote.
The power function and the root function have no asymptotes.