Precalculus Bc/ap Calculus Ab Summer Assignment Worksheet Page 3
ADVERTISEMENT
1
2
3
415) Identify the following functions as odd, even or neither. Show why algebraically.
4
4
y x
y x x
a)
b)
1
3
y
y
2x
4x
c)
d)
2
x
4
IV. Parametric Basics (Calculator may be used)
x(t) 3t
16) Graph parametric equations
on [0,1] (these are the t min and max values). Write a Cartesian
y(t) 2 2t
equation that models this graph. Identify the initial and terminal points.
x(t) 2t 1
17) Follow the directions in #16 with the parametric equations
on [0,2] (t min and max values).
y(t) t 1
18) Parametric equations give us the ability to graph curves that are not functions. Graph the following two sets of
curves, determine their corresponding Cartesian equations, and tell how you can determine which direction (up/down
or left/right) the parabola will open based on their parametric equations.
2
t
x(t)
x(t)
t 1
a)
on [-2,2] (t min and max values) b)
on [1,5] (t min and max values)
2
y(t) t 1
y(t) t
2
x
y
6y 11
19) Graph
a) in function mode using two functions (HINT: complete the square)
b) in parametric mode (You need to come up with the parametric equations)
20) Graph and identify the type of conic these parametric equations represent:
x(t) 3cos t
x(t) 2 cos t
a)
on [0,2 ](t min and max values) b)
on [0,2 ](t min and max values)
y(t) 3sin t
y(t) 5sin t
V. Trigonometry Basics (No calculator)
Use special triangles and the unit circle to get the values. SHOW ALL WORK.
21) Evaluate.
3
5
4
cos
tan
sin
sin
a)
b)
c)
d)
2
6
3
7
2
5
11
cos
sin
cot
csc
e)
f)
g)
h)
4
3
4
6
27
17
108
11
sin
sin
sin
cos
i)
j)
k)
l)
6
3
8
4
22) Identify which of the six trigonometric functions [sin(x), cos(x), tan(x), csc(x), sec(x), cot(x)] are odd, even or
neither and show why graphically.
23) Which two equations have the same graph? Explain why this is true.
y sin x
y sin
x
y cos(x)
y
sin(x)
y
cos(x)
a)
b)
c)
d)
e)
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education