Question 1 State the "helper" graph that can be used to assist in graphing the following function: f(x)=3sec(13x)-6.
a) f(x)=3sin(x/3)-6
b) f(x)=32csc(x/3)-6
c) f(x)=3tan(x/3)-6
d) f(x)=3cos(x/3)-6
e) f(x)=32sin(x/3)-6
f) None of the above.
Question 2 Which of these is an equation of one of the asymptotes of the function f(x)=7sec(3x)-3?
a) x=3
b) x=π18
c) x=π6
d) x=π3
e) x=π24
f) None of the above.
Question 3 Find the horizontal shift for the functionf(x)=5sec(4πx+14π).
a) 116 to the right
b) π4 to the left
c) 12 to the left
d) 116 to the left
e) π4 to the right
f) None of the above.
Question 4 Which of these is an equation of one of the asymptotes of the function f(x)=5csc(12πx-16π)?
a) x=7π3
b) x=7π6
c) x=73
d) x=7π12
e) x=43
f) None of the above.
Question 5 Which of these is an equation of one of the asymptotes of the function f(x)=3cot(15x)?
a) x=54
b) x=5π
c) x=5π2
d) x=5
e) x=52
f) None of the above.
Question 6 Give an equation of the form f(x)=Atan(Bx-C)+D which could be used to represent the given graph. (Note: C or Dmay be zero.)
a) f(x)=3tan(2x-π)-1
b) f(x)=3tan(x+2)+1
c) f(x)=3tan(2x-π)
d) f(x)=3tan(2x-π)+1
e) f(x)=3tan(2x)
f) None of the above.
Question 7 Give an equation of the form f(x)=Acsc(Bx-C)+D which could be used to represent the given graph. (Note: C or Dmay be zero.)
a) f(x)=6csc(2x-π)-1
b) f(x)=3csc(2x-π)+1
c) f(x)=6csc(2x-π)+1
d) f(x)=3csc(2x-π)
e) f(x)=3csc(2x-π)-1
f) None of the above.
Question 8 Which of these is a point that lies on the graph of the function y=tan(12x)+4?
a) (0,3)
b) (π2,-4)
c) (-π2,3)
d) (0,5)
e) (-π2,0)
f) None of the above.
Question 9 Determine the period of the function f(x)=8tan(2π3x-9).
a) 2π3
b) 32
c) 3
d) π
e) 34
f) None of the above.
Question 10 Determine the period of the function f(x)=10sec(6πx-1).
a) 2π
b) 13
c) π6
d) 112
e) 6π
f) None of the above.