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Hello! I just need help with a few questions.

Question 1: The function shown in the graph is vertically stretched by a factor of 4 to produce a new graph. Which function represents the new graph?

1. f(x)= 4sin (2pi x)

2. f(x)= sin (4x)

3. f(x) = sin (8pi x)

4. f(x) 4 sin(x)

Question 2: For which intervals is the function negative? Select each correct answer. 

1. (1,4)

2. (-3,1)

3. (-2.5, 2.5)

4, (-1.5, 4.2)

5. (-infinity, -3)

6. (4, infinity)

Question 3: What is the amplitude of the function graphed?

Question 4: 

Which statement about the function is true?

1. f(x) and g(x) have the same y-intercept 

2. f(x) and g(x) have a common x-intercept

3. f(x) and g(x) intersect at two points

4. f(x) is greater than g(x) for all values of x

 

I know these are quite a few questions so thanks so much to anyone who chooses to help! :)

 May 31, 2019
 #3
avatar+8810 
+4

1. The function shown in the graph is vertically stretched by a factor of 4 to produce a new graph. Which function represents the new graph?

The graph in the picture has a period of  1  and amplitude of  1  , so it is a graph of  y = sin(2π x)

 

y  =  sin(2π x)     stretched vertically by a factor of  4  is     y  =  4sin(2π x)

 May 31, 2019
 #4
avatar+19832 
+3

Here is 1)   https://web2.0calc.com/questions/need-some-helpp

 

The others have been posted and ansewered before also.....just try searching for them.....   G'Luck !

 May 31, 2019
 #5
avatar+8810 
+2

3. What is the amplitude of the function graphed?

 

 

amplitude  =  maximum y-value  -  minimum y-value   =   6 - (-2)   =   6 + 2   =   8

 May 31, 2019
 #7
avatar+19832 
+3

Amplitude is   4   (Hecticar forgot to divide by 2)

ElectricPavlov  May 31, 2019
edited by ElectricPavlov  May 31, 2019
 #8
avatar+8810 
+2

Thanks....I messed that up!!

hectictar  May 31, 2019
 #9
avatar+19832 
+1

Been there, done that !   cheeky

ElectricPavlov  May 31, 2019
 #6
avatar+19832 
+1

2)   the function is negative where the graph is below the x- axis

 

(-inf, 3) U (1,4)

 May 31, 2019

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