Functions

Consider the following for the two (02) items that follow: Let $f = \{(1, 1), (2, 4), (3, 7), (4, 10)\}$. If $f(x) = px + q$, then what is the value of $(p + q)$?

Let $f(x)=\sqrt{2-x}+\sqrt{2+x}$. What is the domain of the function?

A function is defined by $f(x)=\pi+\sin ^2 x$ What is the range of the function?

Consider the following for the two (02) items that follow: A function $f$ is such that $f(xy) = f(x+y)$ for all real values of $x$ and $y$, and $f(5) = 10$. What is $f(20) + f(-20)$ equal to?

If $f(x)=2 x-x^2$, then what is the value of $f(x+2)+f(x-2)$ when $x=0$ ?

If $f$ and $g$ are two increasing functions such that $f o g$ is defined, then which one of the following is correct?

Let N denote the set of all non-negative integers and Z denote the set of all integers. The function $f: \mathrm{Z} \rightarrow \mathrm{N}$ given by $f(x)=|x|$ is:

Consider the function $f: R \rightarrow\{0,1\}$ such that $f(x)=\left\{\begin{array}{cc} 1 & \text { if } x \text { is rational } \\ 0 & \text { if } x \text { is irrational } \end{array}\right.$ Which one of the…

Which one of the following graph represents the function $f(\mathrm{x})=\frac{\mathrm{x}}{\mathrm{x}}, \mathrm{x} \neq 0$ ?

If $f(x)=\frac{\sqrt{x-1}}{x-4}$ defines a function of $R$, then what is its domain?

The domain of the function $f(x)=\sqrt{\frac{4-x^2}{[x]+2}}$, where $[x]$ denotes the greatest integer not more than $x$, is

The range of the function $f(x)=\frac{x}{x^2-5 x+9}$ is