Function

Q.

What are the two definitions of a derivative?

Q. Identify the graph for:

$y=3x+1$

1. 
2. 
3. 
4. Both (a) and (c).

Q. Which of the following relation do not represent a function?

1. 
2. 
3. 
4. 

Q. Among the following, represents a function.

1. Option I
2. Option II
3. Option III
4. Option IV

Q.
Which of the above graphs represents a linear function?

Q. Which of the following relation do not represent a function?

1. 
2. 
3. 
4. 

Q. When the graph of the function is a line, then the function is called a linear function.

1. Straight
2. Curvy
3. Not Straight

Q.

How do you tell if the relation is a function $?$

Q. Which of the following graph shows a nonlinear function?

1. 
2. 
3. 
4. 

Q. $\text{A function}f:[-5,9]\to R$ is defined by :
$f\left(x\right)=\{\begin{array}{c}6x+1\text{if}-5\le x<2\\ 5x^2-1\text{if}2\le x<6\\ 3x-4\text{if}6\le x\le 9\end{array}$

Find $f\left(7\right)-f\left(1\right)$.

1. 17
2. 7
3. 10
4. 36

Q. State the type of function represented by the following Graph:

1. Many - Many function
2. One - One function
3. Many - One function
4. Not a function

Q.
The graph of the function represented by the above table is .

1. exponential
2. linear
3. non-linear

Q.

Which of the following describes the graph of a linear function?

1. It is a curve that lies in only two quadrants.

2. Its $y-$values decrease at a constant rate as its $x-$value increases.

3. It is a straight line in one portion and a curve in another portion.

4. Its $y-$values increase at a non-constant rate as its $x-$value increases.

Q. What kind of a variation does the function $y=\frac{8}{x}$ represent?

1. Direct Variation
2. Indirect Variation

Q. Let f(x) = $\frac{2x+3}{x-2}$, where x$\ne$2 and x$\in$R. Find $\frac{1}{3}$f(4).

1. $\frac{1}{3}$
2. $\frac{11}{3}$
3. $\frac{11}{6}$
4. - $\frac{11}{3}$

Q. If a function, $f\left(x\right)=3-2x$, then find the value of $x$ such that $f\left(x^2\right)=\left[f\right(x){]}^2$.

1. 1 , 1
2. -1 , -1
3. 1 , -2
4. 1 , 2

Q.

Does the graph represent a linear or nonlinear function? Explain.

Q. Find the missing term in the table for $y=-3x$.

$x$	$y$
1	-3
0	0
-3	?

1. $1$
2. $9$
3. $-9$

Q. $\text{If the function}f:R\to R$ is defined by :
$f\left(x\right)=\{\begin{array}{c}\sqrt{x-1}\text{if}x\ge 1\\ 2\text{if}x<1\end{array}$
Find the value of $f\left(1\right)$.

1. 0
2. 2
3. 1
4. 3

Q. Which of the following relation do not represent a function?

1. 
2. 
3. 
4. 

Q. For a realtion to become a function, it should pass the vertical line test.

1. True
2. False

Q. The graph below represents a nonlinear function. Which of the following movements of a point $B$ will make the function a linear one?

Q. Among the following, represents a function.

1. Option I
2. Option IV
3. Option II
4. Option III

Q. Among the following, represents a function.

1. Option III
2. Option I
3. Option II
4. Option IV

Q.

Does the graph represent a linear or nonlinear function? Explain.

Q. If $y=x^2+x$ ; where $x$ is a prime number below $5$, what will be the coordinates of $x$ and $y$ ?

1. ($2,6$) and ($3,12$)
2. ($2,3$) and ($6,12$)
3. (a) and (b) above

Q. Does this represent a function?

1. Yes
2. No