Precalculus 30 Review

Question 1

Difference quotient

Answer 1

f(x+h)-f(x)
————— , h ≠ 0
h

Question 2

Slope intercept form

Answer 2

y=mx+b

Question 3

Point slope form

Answer 3

y=m(x-x1)+y1

Question 4

Floor function

Answer 4

|_ _| Largest integer less than or equal to x

Question 5

Ceiling function

Answer 5

Smallest integer greater than or equal to x

Question 6

Even function

Answer 6

Symmetry in y axis

f(-x) = f(x)

Question 7

Odd function

Answer 7

Symmetry with respect to origin

-f(x) = f(-x)

Question 8

Average rate of change

Answer 8

Δy=(f(b)-f(a))/(b-a), a≠b

Question 9

How many decimal places?

Answer 9

3 decimal places (unless whole number)

Question 10

Logarithm rules

Answer 10

If logarithms have the same base…

ln(a) + ln(b) = ln(ab)

ln(a) - ln(b) = ln(a/b)

ln(a^b) = (b)ln(a)

Question 11

How well do you know the unit circle?

Answer 11

It is important to have the unit circle memorized. There are some tricks that can be used to memorize it. You should be able to create a mental image of a unit circle so that you do not even need a physical one to reference.