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Hello Everyone. I have two math problems here and I have answers for them, I just would like to make sure that I am correct. Thanks for all your help, in advance! 

 

1. Which equation represents the function of the graph?

f(x)=sin4x

f(x)=cos1/4x

f(x)=cos4x

f(x)=sin1/4x

My answer: f(x)cos4x

 

2. 

Which function is shown in the graph?

f(x)=1/2sinx

f(x)=1/2cosx

f(x)=−1/2cosx

f(x)=−1/2sinx

A sinusoidal function with an x axis beginning at negative pi over two and increasing in increments of pi over two until reaching five pi over two. The function begins at negative pi over two comma zero point five and decreases through zero comma zero to a minimum value of pi over two comma negative zero point five. The graph then increases through pi comma zero to a maximum value of three pi over two comma zero point five. The graph then decreases through two pi comma zero to a minimum value of five pi over two comma negative zero point five.

My answer-f(x)=1/2cosx

Am I correct for both? Thanks

Guest Feb 1, 2018
 #1
avatar+12566 
+1

Ya got the first one.....but not the second one......  wanna try again?

ElectricPavlov  Feb 1, 2018
 #2
avatar+87639 
+1

 

Second one :

 

Notice that if we let the normal sine graph have an amplitude of 1/2 and then  "flip" - reflect - it across the x axis, we get the "negative" sine graph with an amplitude of 1/2

 

 

So....the correct answer is

 

f(x)  = ( -1/2 ) sin (x)

 

 

cool cool cool

CPhill  Feb 1, 2018

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