Show that the function given by f(x)=3 x+17 is increasing on R. - Vidyadip

Question

Show that the function given by $f(x)=3 x+17$ is increasing on R.

✓

Answer

Let $y=f(x)=3 x+17$
$\frac{d y}{d x}=3>0 \text { for all } x \in R$
Hence, given function is increasing on $R$.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "2 Marks Questions" from Differentiation and it's Applications→Differentiation and it's Applications — all question types→Applied Maths STD 12 Science question papers→CBSE Board STD 12 Science question papers→CBSE Board question paper generator→

Similar questions

If $3 A-B=\left[\begin{array}{ll}5 & 0 \\ 1 & 1\end{array}\right]$ and $B=\left[\begin{array}{ll}4 & 3 \\ 2 & 5\end{array}\right]$, then find the matrix $A.$

Let R be the feasible region (convex polygon) for a linear programming problem and let Z = ax + by be the objective function. When Z has an optimal value (maximum or minimum), where the variables x and y are subject to constraints described by linear inequalities, this optimal value must occur at a corner points (vertex) of the feasible region.
Q. 1. Solve the following LPP graphically:
Max. Z = 2x + 3y
subject to $\begin{aligned} x+y & \leq 4 \\ x & \geq 0, y \geq 0\end{aligned}$
Q. 2. Draw the graph of given LPP and find the corner points of feasible region.
Minimize Z = 200x + 500y
Subject to constraints:
$\begin{aligned} x+2 y & \geq 10 \\ 3 x+4 y & \leq 24 \\ x & \geq 0, y \geq 0\end{aligned}$

Let x and b are real numbers. If $b > 0$ and $|x| > b,$ then find interval for $x.$

If $A=\left[\begin{array}{cc}3 & 1 \\ -1 & 2\end{array}\right]$ and $I=\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right]$, find $k$ so that $A^2=5 A+k I$.

Amrita bought a car worth ₹ $12,50,000$ and makes a down payment of ₹ $3,00,000.$ The balance amount is to be paid in 4 years by equal monthly instalments at an interest rate of $15\%$ p.a. Find the EMI that Amrita has to pay for the car. $\left\{\right.$Given $\left.\left.(1.0125)^{-48}=0.5508565\right)\right\}$

Mr. Bharti wishes to purchase a flat for ₹ 6000000 with a down payment of ₹ 1000000 and balance in equal monthly payments for 20 years. If bank charges 7.5 % p.a. compounded monthly, calculate the EMI. (Given$\left.(1.00625)^{240}=4.4608\right)$

P,Q and R jointly invested a total of 64000 in a business. P invested 6000 more than Q and Q
invested 5000 more than R. Find the ratio of their capital?

In a game of 80 points, A can give 5 points to B and 15 points to C. Calculate the number of points that B can give to C in a game of 60 points?

3. A machine which produces mica insulating washers of use in the electric devices is set to turn out washers having a thickness of 10 mils ( 1mil = 0.001 inch). A sample of 10 washers has an average thickness of 9.52 mils with a standard deviation of 0.60 mil. Find out t

Mr. Y has two investment options - either at 10% per annum compounded semi-annually or 9.5 % per annum
compounded continuously. Which option is preferable and why?