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! :)
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)
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 !
3. What is the amplitude of the function graphed?
amplitude = maximum y-value - minimum y-value = 6 - (-2) = 6 + 2 = 8
2) the function is negative where the graph is below the x- axis
(-inf, 3) U (1,4)