A function f :[-5,9] R is defined as follow: f(x)= ll 6 x+1 ; & -… - Vidyadip

Question

A function $f :[-5,9] \rightarrow R$ is defined as follow:
$f(x)=\left\{\begin{array}{ll}6 x+1 ; & -5 \leq x<2 \\5 x^2-1 ; & 2 \leq x<6 \\3 x-4 ; & 6 \leq x \leq 9\end{array} \text { Find } f(-3)+f(2)\right.$

✓

Answer

$f(x)=6 x+1 ; x=\{-5,-4,-3,-2,-1,0,1\}$
$f(x)=5 x^2-1 ; x=\{2,3,4,5\}$
$f(x)=3 x-4 ; x=\{6,7,8,9\}$
$f(-3)+f(2)$
$f(x)=6 x+1$
$f(-3)=6(-3)+1=-18+1=-17$
$f(x)=5 x^2-1$
$f(2)=5(2)^2-1=20-1=19$
$f(-3)+f(2)=-17+19=2$

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 Mark Questions]" from Relations and Functions→Relations and Functions — all question types→MATHS STD 10 question papers→Tamilnadu Board STD 10 question papers→Tamilnadu Board question paper generator→

Similar questions

In electrical circuit theory, a circuit $C(t)$ is called a linear circuit if it satisfies the superposition principle given by $C\left(a t_1+b t_2\right)=a C\left(t_1\right)+b C\left(t_2\right)$, where $a , b$ are constants. Show that the circuit $C(t)=3 t$ is linear.

You are downloading a song. The percent y (in decimal form) of megabytes remaining to get downloaded in x seconds is given by y = – 0.1x + 1 after how many seconds the song will be downloaded completely?

A bag contains 5 red balls, 6 white balls, 7 green balls, 8 black balls. One ball is drawn at random from the bag. Find the probability that the ball drawn is neither white or black

Find the area of quadrilateral BCEG

Construct a $3 \times 3$ matrix whose elements are given by $a_{i j}=\frac{( i + j )^3}{3}$

Write the first three terms of the G.P. whose first term and the common ratio are given below
$a=\sqrt{2}, r=\sqrt{2}$

The frustum shaped outer portion of the table lamp has to be painted including the top part. Find the total cost of painting the lamp if the cost of painting 1 sq.cm is ₹ 2.

Find the slope and $y$ intercept of $\sqrt{3 x}+(1-\sqrt{3}) y=3$

Solve the following quadratic equation by completing the square method $\frac{5 x+7}{x-1}=3 x+2$

Determine the quadratic equation, whose sum and product of roots are $-(2-a)^2,(a+5)^2$