Answer
a. Function is used to describe the dependence of one quantity on another. A function $f$ is a rule that assigns to each element $x$ in a set $A$ exactly one element, called $f(x)$ in a set B.
b. The domain of the function is the set of all inputs for the function, and the range of $f$ is the set of all possible values of $f(x)$ as x varies throughout the domain.
c. The graph of a function $f$ is the set of all point $(x,y)$ such that $y=f(x),...$
d. The symbol that represents an arbitrary number in the domain of a function $f$ is called an independent variable. The symbol that represents a number in the range of $f$ is called dependent variable.
When we write $y=f(x)$, x is the independent variable and y is the dependent variable.
Work Step by Step
a. Function is used to describe the dependence of one quantity on another. A function $f$ is a rule that assigns to each element $x$ in a set $A$ exactly one element, called $f(x)$ in a set B.
b. The domain of the function is the set of all inputs for the function, and the range of $f$ is the set of all possible values of $f(x)$ as x varies throughout the domain.
c. The graph of a function $f$ is the set of all point $(x,y)$ such that $y=f(x),...$
d. The symbol that represents an arbitrary number in the domain of a function $f$ is called an independent variable. The symbol that represents a number in the range of $f$ is called dependent variable.
When we write $y=f(x)$, x is the independent variable and y is the dependent variable.
