Exam 1 Deck

Question 1

cos(2x) =

Answer 1

2cos^2(x) - 1
1 - 2sin^2(x)
cos^2(x) - sin^2(x)

Question 2

Sum of Cubes

Question 3

is sin(x) even or odd?

Answer 3

odd

Question 4

is cos(x) even or odd?

Answer 4

even

Question 5

tan^2x + 1 =

Answer 5

sec^2x

Question 6

1 + cot^2x =

Answer 6

csc^2x

Question 7

cos(2x) =

Answer 7

2cos^2x -1
1 - 2sin^2x
cos^2x - sin^2x

Question 8

what does c do? y = f (cx)

Answer 8

compresses the graph horizontally

Question 9

what does c do? y = f(x/c)

Answer 9

stretches the graph horizontally

Question 10

how does this transform the graph of f:
|f(x)|

Answer 10

reflects the negative function values about the x axis

Question 11

What is the squeeze theorem?

Answer 11

If f (x) ≤ g(x) ≤ h(x) when x is near a and lim x→a f (x) = lim x→a h(x) = L,
then
lim
x→a g(x) = L

Question 12

What is the intermediate value theorem?

Answer 12

If f (x) is continuous on [a, b], and N is any number between
f (a) and f (b), then there exists a number c in (a, b) such that f (c) = N

Question 13

Sum of Cubes general equation

Answer 13

a^3 + b^3 = (a + b)(a^2 - ab + b^2)