Question

Select the number which suits for the given graph:


1. It is a linear function.
2. It is a nonlinear function.
3. It is an exponential function.
4. It is not a function.

• A. 3

Answer 1

The correct option is A 3
Plotting some points on the graph, we see:


Now, tabulating the values, we get:

Input	Output
0	8
1	24
2	72

For an exponential function, we know, the ratio of consecutive y values should be equal.

Let us consider A = 8, B = 24, C = 72

$\frac{\text{B}}{A}=\frac{24}{8}=3$

$\frac{\text{C}}{B}=\frac{72}{24}=3$

Here, the ratios are same.

Hence, the graph represents an exponential function.