Question

Basic Functions Sample Work

Answer 1

Answer:

See explanation

Step-by-step explanation:

1. Consider radical function. Its expression is $y=\sqrt{x},$ its domain is $[0,\infty)$ and range - $[0,\infty).$ This function is neither even nor odd. It has no axes of symmetry. Moreover, it has neither vertical nor horyzontal asymptotes.

2. Consider rational function. Its expression is $y=\dfrac{1}{x},$ its domain is $(-\infty,0)\cup(0,\infty)$ and range - $(-\infty,0)\cup(0,\infty).$ This function is odd. It has two axes of symmetry - lines $y=x$ and $y=-x.$ Moreover, it has vertical asymptote $x=0$ and horyzontal asymptote $y=0.$