AP Calculus BC
_________________
Welcome to Calculus! Name:
8-12-15
Solve:
1.
x 2  2x
2.
3x 2  15x
3.
4  e 2x
4.
log(x  3)  2
5.
(x  y)2
6.
(x  2y)4
7.
Find an equation of the line that passes through (3, 5) and (-4, 7).
8.
Given the graph below write an equation to model the graph. Write the equation in factored form.
Expand.
9.
Which of the following defines a function ƒ for which ƒ(–x) = – ƒ(x)?
(A)
f (x)  x 2
(D)
(B)
f (x)  log(x)
f (x)  sin(x)
(E)
(C)
f (x)  e x
f (x)  cos(x)
10.
ln(x  2)  0 if and only if:
(A)
x<3
(B)
(D)
11.
x>2
(E)
(C)
2<x<3
x>3
If p(x)  (x  2)(x  k) and if the remainder is 12 when p(x) is divided by x – 1, then k =
(A)
2
(B)
(D)
12.
0<x<3
3
11
(C)
(E)
13
If f (x) 
4
and g(x)  2x , then the solution set of f (g(x))  g(f (x)) is
x 1
(A)
1
3
(B)
(D)
– 1 and 2
2
(C)
(E)
6
1
and 2
3
3

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