Non-linear Graphs

Bacteria multiply rapidly because a cell divides into two cells and then those two cells divide to each produce two more cells and so on. The growth rate is exponential and we can express the population of bacteria over time using the formula $P=2^t$ ($t$ is the period of time).

The graph shows the increase in bacteria numbers in a six-hour period.

How many bacteria are there after one hour?

Examine, seeing the graph of the polynomial given below, whether it is a linear $/$ quadratic $/$ neither linear nor quadratic.

Consider two curve $f\left(x\right)=\left|x^2-1\right|$ and $g\left(x\right)=\left|x^2-3\right|,$ then :

The number of real solutions of the equation $x^3+1=2{\left(2x+1\right)}^{\frac{1}{3}}$

Total number of solutions of $2^x+3^x+4^x-5^x=0$ is

The graph of the function y = f(x) is symmetrical about line x = 2. Then

Number of solutions of $e^{\left|x\right|}=\sin x^4$ is :