y=f(x) Transforms to |y|=|f(|x|)|

Q. If $f\left(x\right)=min\{1,x^2,x^3\}$ then

1. $f\left(x\right)$ is continuous $\forall xϵR$
2. $f\left(x\right)$ is not differentiable for two values of x
3. $f\left(x\right)$ is not differentiable but continuous $\forall xϵR$
4. $f^{\prime }\left(x\right)>0$ $\forall x>1$

Q. Which of the following is true for $y=|1-\frac{1}{|x|-2}|?$

1. It has $2$ asymptotes.
   
2. It has $3$ asymptotes.
   
3. It is not differentiable at $5$ points.
   
4. It is not differentiable at $2$ points.

Q. The graph of $f\left(x\right)=\frac{x^5}{20}-\frac{x^4}{12}+5$ has

1. one local maximum, one local minimum, one point of inflection
2. two local maximum, one local minimum, two point of inflection
3. no local extreme, one point of inflection
4. one local maximum, one local minimum, two point of inflection

Q.

Find the graph of $|y|=e^{-|x|}-1$

1. 

2. 

3. 

4. 

Q.

Find the graph of $|y|=e^{-|x|}-1$

1. 

2. 

3. 

4. 

Q.

Find the graph of $|y|=e^{-|x|}-1$

1. 

2. 

3. 

4. 

Q.

Find the graph of $|y|=e^{-|x|}-1$

1. 

2. 

3. 

4. 

Q. Graph $x^2+y^2=4$ in 3D looks like

1. Cylinder
2. Hemisphere
3. Circle
4. Sphere

Q. If $y_1=x^2;y_2=x^2-4$, then the graph of $y_1$ as solid line curve and the graph of $y_2$ as a dashed line curve is denoted by which of the following figures appropriately:

Q. Use the graphical method to find the value of $k$, if $(k,-3)$ lies on the straight line $2x+3y=1$

1. $8$
2. $5$
3. $9$
4. $3$

Q. Construct the graphs of the following functions.
$y=(x+3)/(x-1).$

Q. Which of the following is true for $y=|1-\frac{1}{|x|-2}|?$

1. It has $2$ asymptotes.
   
2. It has $3$ asymptotes.
   
3. It is not differentiable at $5$ points.
   
4. It is not differentiable at $2$ points.