Sinusoidal functions - practice

Exercises for practicing

The following questions are designed just to practice some of the fundamentals of working with arithmetic sequences, generatings, working with generalisations for the nth term and finding the sum of a sequence to a given number of terms.

Match the functions shown in the diagram below with the letters

Drag the correct letter in the box A  B  C  D 

sinx is graph 

sin2x is graph 

2sinx is graph 

sinx+2 is graph 

 

 

Match the functions shown in the diagram below with the letters

Drag the correct letter in the box A  B  C  D 

cos3x is graph 

0.5cosx is graph 

2cosx is graph 

cosx is graph 

 

 

Consider the following sinusoidal function \(f(x)=asinbx+c\) as shown in the diagram below. Determine the values of a, b and c

a=   b=   c=

 

 

Consider the following sinusoidal function \(f(x)=asinbx+c\) as shown in the diagram below. Determine the values of a, b and c

a=   b=   c=

 

 

Consider the following sinusoidal function \(f(x)=asinbx+c\) as shown in the diagram below. Determine the values of a, b and c

a=   b=   c=

 

 

Consider the following sinusoidal function \(f(x)=acosbx+c\) as shown in the diagram below. Determine the values of a, b and c

a=   b=   c=

Watch out! For cos functions, the y-intercept is c+a

 

Consider the following sinusoidal function \(f(x)=acosbx+c\) as shown in the diagram below. Determine the values of a, b and c

 

a=   b=   c=

Watch out! For cos functions, the y-intercept is c+a

 

Consider the following sinusoidal function \(f(x)=acosbx+c\) as shown in the diagram below. Determine the values of a, b and c

a=   b=   c=

Watch out! For cos functions, the y-intercept is c+a

 

Total Score:

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