Functions and its Types

Let $f=\left\{\right(2,7),(3,4),(7,9),(-1,6),(0,2),(5,3\left)\right\}$ be a function from  $A=\{-1,0,2,3,5,7\}$ to $B=\{2,3,4,6,7,9\}$,find wether it is one-one and onto function or not

Let $f:R\to R$ and $f\left(x\right)=5x-7$, show that it is bijective.

Consider the function $f\left(x\right)=x^2-x+1$ Find $f\left(0\right)+f\left(3\right)$.

Let $f:N\to Q$ and $f\left(x\right)=x^3$,find it is bijective or not.

Find the range of the real function $f\left(x\right)=x^2+3,x\in R$.

Find the domain of the function: $f\left(x\right)=\frac{1}{\sqrt{x^2-7x+12}}$.

Find the domain of the function: $f\left(x\right)=\sqrt{x^2-5x+6}$.

Find the domain of the function: $f\left(x\right)=\frac{1}{x^2+4x+3}$.

What is an inclusion map?

What is proper inclusion in sets? Give some examples.

The statement "$A\subseteq B$" is read as

Write some examples of set inclusion.

What is set inclusion?

The number of cells in a culture, $N,t$ hours after it has been established is shown in the graph for $0\le t\le 20$.

Estimate the interval of time over which the number of cells varied from $32$ to $64$.

The number of cells in a culture, $N,t$ hours after it has been established is shown in the graph for $0\le t\le 20$.

Estimate the value of $t$ when $N=32$.

The number of cells in a culture, $N,t$ hours after it has been established is shown in the graph for $0\le t\le 20$.

Estimate the value of $N$ when $t=4$.

The number of cells in a culture, $N,t$ hours after it has been established is shown in the graph for $0\le t\le 20$.

Estimate the initial number of cells in this culture.

The number of cells in a culture, $N,t$ hours after it has been established is shown in the graph for $0\le t\le 20$.

Find the range of this function.

The diagram shows the graph of a function $f$ from $A$ to $B$.

Write down the set $B$.

The diagram shows the graph of a function $f$ from $A$ to $B$.

Write down the set $A$.