Question 1

The graph of a function is given.Find
(a)the open intervals on which the function is increasing or decreasing;
(b)the coordinates of all relative extrema.

Accepted Answer

(a)f(x)is increasing on (-∞,-2)and (2,∞); f(x)is decreasing on (-2,0)and (0,2)
(b)relative extrema at (-2,1)and (2,1)

Question 2

Find all the critical values of f(x)=  
.

Accepted Answer

± 3

Question 3

If f(x)= 2  
+ 3  
- 36x + 1,determine the intervals on which f is increasing and the intervals on which f is decreasing.

Accepted Answer

increasing on (-∞,-3)and (2,∞); decreasing on (-3,2)

Question 4

Find all the critical values of f(x)=  
- 8  
+ 3.

Accepted Answer

The answer of Find all the critical values of f(x)=...

Question 5

Find all the critical values of f(x)=  
.

Accepted Answer

The answer of Find all the critical values of f(x)=...

Question 6

The graph of a function is given.Find
(a)the open intervals on which the function is increasing or decreasing;
(b)the coordinates of all relative extrema.

Accepted Answer

The answer of The graph of a function is given.Find
(a)the...

Question 7

Let f(x)=  
+  
-  
.Determine the intervals on which f is
(a)Determine the intervals on which f is increasing.
(b)Determine the intervals on which f is decreasing.
(c)Based on your answers to parts (a)and (b),find the values of x for which f has relative maxima.
(d)Based on your answers to parts (a)and (b),find the values of x for which f has relative minima.

Accepted Answer

The answer of Let f(x)=  
+  
- ...

Question 8

The graph of a function is given.Find
(a)the open intervals on which the function is increasing or decreasing;
(b)the coordinates of all relative extrema.

Accepted Answer

The answer of The graph of a function is given.Find
(a)the...

Question 9

If f(x)=  
,determine the intervals on which f is increasing and the intervals on which f is decreasing.

Accepted Answer

The answer of If f(x)=  
,determine the intervals on...

Question 10

The graph of a function is given.Find
(a)the open intervals on which the function is increasing or decreasing;
(b)the coordinates of all relative extrema.

Accepted Answer

The answer of The graph of a function is given.Find
(a)the...

Question 11

If f(x)= 7  
+ 3x - 2,determine the intervals on which f is increasing and the intervals on which f is decreasing.

Accepted Answer

The answer of If f(x)= 7  
+ 3x -...

Question 12

Find all the critical values of f(x)= x ln x.

Accepted Answer

The answer of Find all the critical values of f(x)=...

Question 13

Find all the critical values of y =  
-  
- x + 2.

Accepted Answer

The answer of Find all the critical values of y...

Question 14

If f(x)=  
-  
,determine the intervals on which f is increasing and the intervals on which f is decreasing.

Accepted Answer

The answer of If f(x)=  
-  
,determine the...

Question 15

If f(x)=  
  
,determine the intervals on which f is increasing and the intervals on which f is decreasing.

Accepted Answer

The answer of If f(x)=  
  
,determine the...

Question 16

If f(x)=  
-  
- 15x - 7,determine the intervals on which f is increasing and the intervals on which f is decreasing.

Accepted Answer

The answer of If f(x)=  
-  
- 15x...

Question 17

If f(x)=  
,determine the intervals on which f is increasing and the intervals on which f is decreasing.

Accepted Answer

The answer of If f(x)=  
,determine the intervals on...

Question 18

If f(x)= (  
,determine the intervals on which f is increasing and the intervals on which f is decreasing.

Accepted Answer

The answer of If f(x)= (  
,determine the intervals...

Question 19

Find all the critical values of f(x)=  
.

Accepted Answer

The answer of Find all the critical values of f(x)=...

Question 20

Let f(x)=  
.
(a)Determine the intervals on which f is increasing.
(b)Determine the intervals on which f is decreasing.
(c)Based on your answers to parts (a)and (b),find the values of x for which f has relative maxima.
(d)Based on your answers to parts (a)and (b),find the values of x for which f has relative minima.

Accepted Answer

The answer of Let f(x)=  
.
(a)Determine the intervals on...

Quiz 14: Curve Sketching

The graph of a function is given.Find (a)the open intervals on which the function is increasing or decreasing; (b)the coordinates of all relative extrema.

Find all the critical values of f(x)= .

If f(x)= 2 + 3 - 36x + 1,determine the intervals on which f is increasing and the intervals on which f is decreasing.

Find all the critical values of f(x)= - 8 + 3.

Find all the critical values of f(x)= .

The graph of a function is given.Find (a)the open intervals on which the function is increasing or decreasing; (b)the coordinates of all relative extrema.

The graph of a function is given.Find (a)the open intervals on which the function is increasing or decreasing; (b)the coordinates of all relative extrema.

If f(x)= ,determine the intervals on which f is increasing and the intervals on which f is decreasing.

The graph of a function is given.Find (a)the open intervals on which the function is increasing or decreasing; (b)the coordinates of all relative extrema.

If f(x)= 7 + 3x - 2,determine the intervals on which f is increasing and the intervals on which f is decreasing.

Find all the critical values of f(x)= x ln x.

Find all the critical values of y = - - x + 2.

If f(x)= - ,determine the intervals on which f is increasing and the intervals on which f is decreasing.

If f(x)= ,determine the intervals on which f is increasing and the intervals on which f is decreasing.

If f(x)= - - 15x - 7,determine the intervals on which f is increasing and the intervals on which f is decreasing.

If f(x)= ,determine the intervals on which f is increasing and the intervals on which f is decreasing.

If f(x)= ( ,determine the intervals on which f is increasing and the intervals on which f is decreasing.

Find all the critical values of f(x)= .