Exam 1

Question 1

Domain under a radical

Answer 1

Non negative numbers (includes 0)

Question 2

Domain of 1/f(x)

Answer 2

f(x) cannot be equal to 0

Question 3

Domain of log (x)

Answer 3

x must be more than 0

Question 4

Practice filling out a unit circle

Answer 4

Check online

Question 5

Inverse of a function

Answer 5

The inverse of f(x) is equal to g(x) such that f(g(x) = x. Note that a function only has an inverse when it passes the horizontal line test (one input for every output)

Question 6

Limit

Answer 6

In order for a limit to exist, the left and right side limits must be equal

Question 7

Limit law exception with lim f(x)/g(x)

Answer 7

g(x) must not be equal to 0

Question 8

Vertical Asymptote

Answer 8

at x=a when left, right or regular limit approaches +/- infinity

Question 9

Removable Discontinuity

Answer 9

Can be removed by changing one singular point

Question 10

Jump Discontinuity

Answer 10

lim left does not equal limit right and not infinity

Question 11

Squeeze Theorem

Answer 11

if g(x) lies between two functions f(x) & h(x) and their limits are equal then g(x) has that same limit

Question 12

Continuity

Answer 12

f(a) must exist, lim f(x) as x->a must exist, and f(a) = lim f(x)

Question 13

IVT

Answer 13

if f is cont on a,b and L is any # between f(a) and f(b) there must be some number c s.t a<c<b

Question 14

Derivative

Answer 14

instantaneous rate of change