Maths Week 6 Graded Assignments IIT Madras

1. If $18^x-12^x-(2\times 8^x)=0$, then the value of $x$ is.

4. Which of the following is true about $f$?

5. The inverse of $f$ would be

6. If $m>n>9$, then choose the correct option(s).

7. Choose the correct option(s).

8. The stock market chart of a tourism company $(A)$ is shown roughly in the Figure below. This company was listed in February $(x=2)$ and experiences a logarithmic fall after the COVID$-19$ outbreak which is given by $y=-alog(x-h)+a$. $x$ represents the number of months since the beginning of the year and $y$ represents the stock price in ₹(1000). During the $10^{th}$ month the pharmacy company announced that the vaccine is made for the COVID$-19$. Thereafter, the stock price of the company $(A)$ is raised exponentially $y=10^{\genfrac{}{}{0ex}{}{x}{b}}-b$. Choose the correct set of options. (Note: $a$ is any positive real number,$b$ is a positive integer and $h$ is a constant.)

10 Choose the correct options with respect to the graph of a function $f(x)$ shown below.