Chapter 8.2, Problem 1PE

a. Given a relation in $x$ and $y,$ we say that $y$ is a ____________ of $x$ if for each element $x$ in the domain, there is exactly one value of $y$ in the range.

b. If a _____________ line intersects the graph of a relation in more than one point, the relation is not a function.

c. Function notation for the equation $y=2x+1\text{ is }f\left(x\right)=$ ________________.

d. Given a function defined by $y=f\left(x\right),$ the set of all ______________ that produce a real number when substituted into a function is called the domain of the function.

e. The set of all ____________ line corresponding to $x$ values in the domain is called the range of a function.

f. To find the domain of a function defined by $y=f\left(x\right),$ exclude any values of $x$ that make the _____________ of a fraction equal to zero.

g. To find the domain of a function defined by $y=f\left(x\right),$ exclude any values of $x$ that make the expression within a square root ___________.